%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO500_8.007 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 08:47:04 EDT 2024

% Result   : Theorem 0.92s 0.83s
% Output   : CNFRefutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  667 (   7 unt;  34 typ;   0 def)
%            Number of atoms       : 169497 (   0 equ)
%            Maximal formula atoms : 49151 ( 267 avg)
%            Number of connectives : 253628 (84764   ~;113417   |;55397   &)
%                                         (  50 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   6 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   36 (  34 usr;  29 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,
    epred1_0: $o ).

tff(decl_31,type,
    epred2_0: $o ).

tff(decl_32,type,
    epred3_0: $o ).

tff(decl_33,type,
    epred4_0: $o ).

tff(decl_34,type,
    epred5_0: $o ).

tff(decl_35,type,
    epred6_0: $o ).

tff(decl_36,type,
    epred7_0: $o ).

tff(decl_37,type,
    epred8_0: $o ).

tff(decl_38,type,
    epred9_0: $o ).

tff(decl_39,type,
    epred10_0: $o ).

tff(decl_40,type,
    epred11_0: $o ).

tff(decl_41,type,
    epred12_0: $o ).

tff(decl_42,type,
    epred13_0: $o ).

tff(decl_43,type,
    epred14_0: $o ).

tff(decl_44,type,
    epred15_0: $o ).

tff(decl_45,type,
    epred16_0: $o ).

tff(decl_46,type,
    epred17_0: $o ).

tff(decl_47,type,
    epred18_0: $o ).

tff(decl_48,type,
    epred19_0: $o ).

tff(decl_49,type,
    epred20_0: $o ).

tff(decl_50,type,
    epred21_0: $o ).

tff(decl_51,type,
    epred22_0: $o ).

tff(decl_52,type,
    epred23_0: $o ).

tff(decl_53,type,
    epred24_0: $o ).

tff(decl_54,type,
    epred25_0: $o ).

tff(decl_55,type,
    epred26_0: $o ).

fof(kaminski7,conjecture,
    ( f0(f1(f1(f1(f2(f3(f3(f3(f4(f5(f5(f5(f6(x)))))))))))))
  <=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(f5(f6(f6(f6(x))))))))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski7) ).

fof(c_0_1,plain,
    ( epred25_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($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($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($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
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred23_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | f2($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ( epred24_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f2($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f2($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f4($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f4($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | ~ f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f6($false) ) )
                                            | f6($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f6($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f6($false) ) )
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f4($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f2($false) ) )
            | f2($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_4,plain,
    ( epred11_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | ~ f1($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | f1($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_5,plain,
    ( epred9_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | ~ f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_6,plain,
    ( epred10_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | ~ f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | ~ f3($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f3($false) ) )
                    | f3($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | ~ f5($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f5($false) ) )
                                    | f5($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f5($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f5($false) ) )
                                    | f5($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f3($false) ) )
                    | f3($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ( epred12_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | ~ f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | ~ f1($false) ) )
        | f1($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | ~ f1($false) ) )
            | f1($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | ~ f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | ~ f3($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f3($false) ) )
                        | f3($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f3($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | ~ f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | ~ f5($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f5($false) ) )
                                        | f5($true) )
                                      & ( ( ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f5($true) )
                                          & ( ( ( ( ( ~ x
                                                    | ~ f6($true) )
                                                  & ( x
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ~ x
                                                    | f6($true) )
                                                  & ( x
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f5($false) ) )
                                        | f5($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f3($false) ) )
                        | f3($false) ) )
                    | f2($false) ) )
                | f1($false) ) )
            | f1($false) ) )
        | f1($false) ) ) ),
    introduced(definition) ).

fof(c_0_8,plain,
    ( epred26_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | ~ f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($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($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($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
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | ~ f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | f2($false) ) )
                    | ~ f2($false) ) )
                | f1($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | ~ f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | f2($false) ) )
                        | ~ f2($false) ) )
                    | f2($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | ~ f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | f3($false) ) )
                            | ~ f2($false) ) )
                        | f2($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | ~ f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | f4($false) ) )
                                | ~ f3($false) ) )
                            | f2($true) )
                          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | ~ f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | f4($false) ) )
                                    | ~ f4($false) ) )
                                | f3($true) )
                              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | ~ f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | f4($false) ) )
                                        | ~ f4($false) ) )
                                    | f4($true) )
                                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | ~ f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | f5($false) ) )
                                            | ~ f4($false) ) )
                                        | f4($true) )
                                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | ~ f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | f6($false) ) )
                                                | ~ f5($false) ) )
                                            | f4($true) )
                                          & ( ( ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | ~ f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | f6($false) ) )
                                                    | ~ f6($false) ) )
                                                | f5($true) )
                                              & ( ( ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | ~ f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | f6($false) ) )
                                                        | ~ f6($false) ) )
                                                    | f6($true) )
                                                  & ( ( ( ( ( ~ x
                                                            | ~ f6($true) )
                                                          & ( x
                                                            | ~ f6($false) ) )
                                                        | f6($true) )
                                                      & ( ( ( ~ x
                                                            | f6($true) )
                                                          & ( x
                                                            | 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) ) ) ),
    introduced(definition) ).

fof(c_0_9,plain,
    ( epred25_0
  <=> ( ( ( ( epred23_0
            | ~ f0($true) )
          & ( epred24_0
            | ~ f0($false) ) )
        | ~ f0($true) )
      & ( ( ( epred23_0
            | f0($true) )
          & ( epred24_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_10,plain,
    ( epred7_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f3($false) ) )
        | ~ f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | f3($false) ) )
        | ~ f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( epred8_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f3($false) ) )
        | f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f3($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f5($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f5($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f5($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | f3($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( epred11_0
  <=> ( ( ( ( epred9_0
            | ~ f1($true) )
          & ( epred10_0
            | ~ f1($false) ) )
        | ~ f1($true) )
      & ( ( ( epred9_0
            | f1($true) )
          & ( epred10_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_4,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).

fof(c_0_13,negated_conjecture,
    ~ ( ( ( epred11_0
          | f0($true) )
        & ( epred12_0
          | f0($false) ) )
    <=> ( ( epred25_0
          | f0($true) )
        & ( epred26_0
          | f0($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski7])]),c_0_4]),c_0_7]),c_0_1]),c_0_8]) ).

fof(c_0_14,plain,
    ( epred26_0
  <=> ( ( ( ( epred23_0
            | ~ f0($true) )
          & ( epred24_0
            | ~ f0($false) ) )
        | f0($true) )
      & ( ( ( epred23_0
            | f0($true) )
          & ( epred24_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_8,c_0_2]),c_0_3]),c_0_2]),c_0_3]) ).

fof(c_0_15,plain,
    ( epred12_0
  <=> ( ( ( ( epred9_0
            | ~ f1($true) )
          & ( epred10_0
            | ~ f1($false) ) )
        | f1($true) )
      & ( ( ( epred9_0
            | f1($true) )
          & ( epred10_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_7,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).

fof(c_0_16,plain,
    ( epred1_0
  <=> ( ( ( ( ~ x
            | ~ f6($true) )
          & ( x
            | ~ f6($false) ) )
        | ~ f5($true) )
      & ( ( ( ~ x
            | f6($true) )
          & ( x
            | f6($false) ) )
        | ~ f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ( epred2_0
  <=> ( ( ( ( ~ x
            | ~ f6($true) )
          & ( x
            | ~ f6($false) ) )
        | f5($true) )
      & ( ( ( ~ x
            | f6($true) )
          & ( x
            | f6($false) ) )
        | f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_18,plain,
    ( epred14_0
  <=> ( ( ( ( ~ x
            | ~ f6($true) )
          & ( x
            | ~ f6($false) ) )
        | f6($true) )
      & ( ( ( ~ x
            | f6($true) )
          & ( x
            | f6($false) ) )
        | f6($false) ) ) ),
    introduced(definition) ).

fof(c_0_19,plain,
    ( epred13_0
  <=> ( ( ( ( ~ x
            | ~ f6($true) )
          & ( x
            | ~ f6($false) ) )
        | ~ f6($true) )
      & ( ( ( ~ x
            | f6($true) )
          & ( x
            | f6($false) ) )
        | ~ f6($false) ) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ( ( epred23_0
      | ~ f0($true)
      | ~ f0($true)
      | ~ epred25_0 )
    & ( epred24_0
      | ~ f0($false)
      | ~ f0($true)
      | ~ epred25_0 )
    & ( epred23_0
      | f0($true)
      | ~ f0($false)
      | ~ epred25_0 )
    & ( epred24_0
      | f0($false)
      | ~ f0($false)
      | ~ epred25_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | ~ epred24_0
      | ~ epred23_0
      | epred25_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | ~ epred24_0
      | ~ epred23_0
      | epred25_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | ~ epred24_0
      | ~ epred23_0
      | epred25_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred24_0
      | ~ epred23_0
      | epred25_0 )
    & ( f0($false)
      | ~ epred24_0
      | ~ epred23_0
      | epred25_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | f0($false)
      | ~ epred23_0
      | epred25_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | f0($false)
      | ~ epred23_0
      | epred25_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | f0($false)
      | ~ epred23_0
      | epred25_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | ~ epred23_0
      | epred25_0 )
    & ( f0($false)
      | f0($false)
      | ~ epred23_0
      | epred25_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | ~ epred24_0
      | f0($true)
      | epred25_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | ~ epred24_0
      | f0($true)
      | epred25_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | ~ epred24_0
      | f0($true)
      | epred25_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred24_0
      | f0($true)
      | epred25_0 )
    & ( f0($false)
      | ~ epred24_0
      | f0($true)
      | epred25_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | f0($false)
      | f0($true)
      | epred25_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | f0($false)
      | f0($true)
      | epred25_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred25_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred25_0 )
    & ( f0($false)
      | f0($false)
      | f0($true)
      | epred25_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | f0($true)
      | epred25_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | f0($true)
      | epred25_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | f0($true)
      | epred25_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($true)
      | epred25_0 )
    & ( f0($false)
      | f0($true)
      | epred25_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_21,plain,
    ( epred9_0
  <=> ( ( ( ( epred7_0
            | ~ f2($true) )
          & ( epred8_0
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( epred7_0
            | f2($true) )
          & ( epred8_0
            | f2($false) ) )
        | ~ f1($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_10]),c_0_11]),c_0_10]),c_0_11]) ).

fof(c_0_22,plain,
    ( ( epred9_0
      | ~ f1($true)
      | ~ f1($true)
      | ~ epred11_0 )
    & ( epred10_0
      | ~ f1($false)
      | ~ f1($true)
      | ~ epred11_0 )
    & ( epred9_0
      | f1($true)
      | ~ f1($false)
      | ~ epred11_0 )
    & ( epred10_0
      | f1($false)
      | ~ f1($false)
      | ~ epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( f1($false)
      | ~ epred10_0
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f1($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | f1($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | f1($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred9_0
      | epred11_0 )
    & ( f1($false)
      | f1($false)
      | ~ epred9_0
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | f1($true)
      | epred11_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | ~ epred10_0
      | f1($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | ~ epred10_0
      | f1($true)
      | epred11_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred10_0
      | f1($true)
      | epred11_0 )
    & ( f1($false)
      | ~ epred10_0
      | f1($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f1($false)
      | f1($true)
      | epred11_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | f1($false)
      | f1($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred11_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred11_0 )
    & ( f1($false)
      | f1($false)
      | f1($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f1($true)
      | epred11_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | f1($true)
      | epred11_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | f1($true)
      | epred11_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($true)
      | epred11_0 )
    & ( f1($false)
      | f1($true)
      | epred11_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_23,negated_conjecture,
    ( ( ~ epred26_0
      | ~ epred25_0
      | ~ epred12_0
      | ~ epred11_0 )
    & ( ~ f0($false)
      | ~ epred25_0
      | ~ epred12_0
      | ~ epred11_0 )
    & ( ~ epred26_0
      | ~ f0($true)
      | ~ epred12_0
      | ~ epred11_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred12_0
      | ~ epred11_0 )
    & ( ~ epred26_0
      | ~ epred25_0
      | ~ f0($false)
      | ~ epred11_0 )
    & ( ~ f0($false)
      | ~ epred25_0
      | ~ f0($false)
      | ~ epred11_0 )
    & ( ~ epred26_0
      | ~ f0($true)
      | ~ f0($false)
      | ~ epred11_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($false)
      | ~ epred11_0 )
    & ( ~ epred26_0
      | ~ epred25_0
      | ~ epred12_0
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ epred25_0
      | ~ epred12_0
      | ~ f0($true) )
    & ( ~ epred26_0
      | ~ f0($true)
      | ~ epred12_0
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred12_0
      | ~ f0($true) )
    & ( ~ epred26_0
      | ~ epred25_0
      | ~ f0($false)
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ epred25_0
      | ~ f0($false)
      | ~ f0($true) )
    & ( ~ epred26_0
      | ~ f0($true)
      | ~ f0($false)
      | ~ f0($true) )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($false)
      | ~ f0($true) )
    & ( epred25_0
      | f0($true)
      | epred11_0
      | f0($true) )
    & ( epred26_0
      | f0($false)
      | epred11_0
      | f0($true) )
    & ( epred25_0
      | f0($true)
      | epred12_0
      | f0($false) )
    & ( epred26_0
      | f0($false)
      | epred12_0
      | f0($false) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_24,plain,
    ( ( epred23_0
      | ~ f0($true)
      | f0($true)
      | ~ epred26_0 )
    & ( epred24_0
      | ~ f0($false)
      | f0($true)
      | ~ epred26_0 )
    & ( epred23_0
      | f0($true)
      | f0($false)
      | ~ epred26_0 )
    & ( epred24_0
      | f0($false)
      | f0($false)
      | ~ epred26_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | ~ epred24_0
      | ~ epred23_0
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | ~ epred24_0
      | ~ epred23_0
      | epred26_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | ~ epred24_0
      | ~ epred23_0
      | epred26_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred24_0
      | ~ epred23_0
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred24_0
      | ~ epred23_0
      | epred26_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | f0($false)
      | ~ epred23_0
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | f0($false)
      | ~ epred23_0
      | epred26_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | f0($false)
      | ~ epred23_0
      | epred26_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | ~ epred23_0
      | epred26_0 )
    & ( ~ f0($false)
      | f0($false)
      | ~ epred23_0
      | epred26_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | ~ epred24_0
      | f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | ~ epred24_0
      | f0($true)
      | epred26_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | ~ epred24_0
      | f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ epred24_0
      | f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred24_0
      | f0($true)
      | epred26_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | f0($false)
      | f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | f0($false)
      | f0($true)
      | epred26_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | f0($false)
      | f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | f0($false)
      | f0($true)
      | epred26_0 )
    & ( ~ epred24_0
      | ~ epred23_0
      | ~ f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ epred23_0
      | ~ f0($true)
      | epred26_0 )
    & ( ~ epred24_0
      | ~ f0($true)
      | ~ f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | ~ f0($true)
      | epred26_0 )
    & ( ~ f0($false)
      | ~ f0($true)
      | epred26_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_25,plain,
    ( ( epred9_0
      | ~ f1($true)
      | f1($true)
      | ~ epred12_0 )
    & ( epred10_0
      | ~ f1($false)
      | f1($true)
      | ~ epred12_0 )
    & ( epred9_0
      | f1($true)
      | f1($false)
      | ~ epred12_0 )
    & ( epred10_0
      | f1($false)
      | f1($false)
      | ~ epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred10_0
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f1($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | f1($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | f1($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ f1($false)
      | f1($false)
      | ~ epred9_0
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ epred10_0
      | f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | ~ epred10_0
      | f1($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | ~ epred10_0
      | f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ epred10_0
      | f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred10_0
      | f1($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | f1($false)
      | f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | f1($false)
      | f1($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | f1($false)
      | f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | f1($false)
      | f1($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ epred9_0
      | ~ f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ epred9_0
      | ~ f1($true)
      | epred12_0 )
    & ( ~ epred10_0
      | ~ f1($true)
      | ~ f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | ~ f1($true)
      | epred12_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred12_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_26,plain,
    ( epred22_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_27,plain,
    ( epred19_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | ~ f4($false) ) )
        | ~ f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | f4($false) ) )
        | ~ f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_28,plain,
    ( epred20_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | ~ f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | ~ f4($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f4($false) ) )
                | f4($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | ~ f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | ~ f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | ~ f6($false) ) )
                            | f6($true) )
                          & ( ( ( ( ( ~ x
                                    | ~ f6($true) )
                                  & ( x
                                    | ~ f6($false) ) )
                                | f6($true) )
                              & ( ( ( ~ x
                                    | f6($true) )
                                  & ( x
                                    | f6($false) ) )
                                | f6($false) ) )
                            | f6($false) ) )
                        | f5($false) ) )
                    | f4($false) ) )
                | f4($false) ) )
            | f4($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_29,plain,
    ( epred17_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f5($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f5($false) ) )
            | ~ f4($false) ) )
        | ~ f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f5($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f5($false) ) )
            | f4($false) ) )
        | ~ f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( epred15_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f6($false) ) )
            | ~ f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f6($false) ) )
            | ~ f6($false) ) )
        | ~ f5($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f6($false) ) )
            | f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f6($false) ) )
            | f6($false) ) )
        | ~ f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_31,plain,
    ( epred16_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f6($false) ) )
            | ~ f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f6($false) ) )
            | ~ f6($false) ) )
        | f5($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f6($false) ) )
            | f6($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f6($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f6($false) ) )
            | f6($false) ) )
        | f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_32,plain,
    ( epred21_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | ~ f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | ~ f2($false) ) )
        | ~ f2($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | ~ f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | ~ f3($false) ) )
            | f2($true) )
          & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | ~ f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | ~ f4($false) ) )
                | f3($true) )
              & ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | ~ f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | ~ f4($false) ) )
                    | f4($true) )
                  & ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | ~ f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | ~ f4($false) ) )
                        | f4($true) )
                      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | ~ f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | ~ f5($false) ) )
                            | f4($true) )
                          & ( ( ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | ~ f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | ~ f6($false) ) )
                                | f5($true) )
                              & ( ( ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | ~ f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | ~ f6($false) ) )
                                    | f6($true) )
                                  & ( ( ( ( ( ~ x
                                            | ~ f6($true) )
                                          & ( x
                                            | ~ f6($false) ) )
                                        | f6($true) )
                                      & ( ( ( ~ x
                                            | f6($true) )
                                          & ( x
                                            | f6($false) ) )
                                        | f6($false) ) )
                                    | f6($false) ) )
                                | f5($false) ) )
                            | f4($false) ) )
                        | f4($false) ) )
                    | f4($false) ) )
                | f3($false) ) )
            | f2($false) ) )
        | ~ f2($false) ) ) ),
    introduced(definition) ).

fof(c_0_33,plain,
    ( ( ~ x
      | ~ f6($true)
      | ~ f5($true)
      | ~ epred1_0 )
    & ( x
      | ~ f6($false)
      | ~ f5($true)
      | ~ epred1_0 )
    & ( ~ x
      | f6($true)
      | ~ f5($false)
      | ~ epred1_0 )
    & ( x
      | f6($false)
      | ~ f5($false)
      | ~ epred1_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred1_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | x
      | epred1_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | x
      | epred1_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | x
      | epred1_0 )
    & ( f5($false)
      | ~ x
      | x
      | epred1_0 )
    & ( ~ x
      | x
      | f6($false)
      | x
      | epred1_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | x
      | epred1_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | x
      | epred1_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | x
      | epred1_0 )
    & ( f5($false)
      | f6($false)
      | x
      | epred1_0 )
    & ( ~ x
      | x
      | ~ x
      | f6($true)
      | epred1_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | f6($true)
      | epred1_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred1_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred1_0 )
    & ( f5($false)
      | ~ x
      | f6($true)
      | epred1_0 )
    & ( ~ x
      | x
      | f6($false)
      | f6($true)
      | epred1_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | f6($true)
      | epred1_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred1_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred1_0 )
    & ( f5($false)
      | f6($false)
      | f6($true)
      | epred1_0 )
    & ( ~ x
      | x
      | f5($true)
      | epred1_0 )
    & ( ~ f6($false)
      | x
      | f5($true)
      | epred1_0 )
    & ( ~ x
      | ~ f6($true)
      | f5($true)
      | epred1_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f5($true)
      | epred1_0 )
    & ( f5($false)
      | f5($true)
      | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

fof(c_0_34,plain,
    ( ( ~ x
      | ~ f6($true)
      | f5($true)
      | ~ epred2_0 )
    & ( x
      | ~ f6($false)
      | f5($true)
      | ~ epred2_0 )
    & ( ~ x
      | f6($true)
      | f5($false)
      | ~ epred2_0 )
    & ( x
      | f6($false)
      | f5($false)
      | ~ epred2_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | x
      | epred2_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ f5($false)
      | ~ x
      | x
      | epred2_0 )
    & ( ~ x
      | x
      | f6($false)
      | x
      | epred2_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | x
      | epred2_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | x
      | epred2_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | x
      | epred2_0 )
    & ( ~ f5($false)
      | f6($false)
      | x
      | epred2_0 )
    & ( ~ x
      | x
      | ~ x
      | f6($true)
      | epred2_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | f6($true)
      | epred2_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred2_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred2_0 )
    & ( ~ f5($false)
      | ~ x
      | f6($true)
      | epred2_0 )
    & ( ~ x
      | x
      | f6($false)
      | f6($true)
      | epred2_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | f6($true)
      | epred2_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred2_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred2_0 )
    & ( ~ f5($false)
      | f6($false)
      | f6($true)
      | epred2_0 )
    & ( ~ x
      | x
      | ~ f5($true)
      | epred2_0 )
    & ( ~ f6($false)
      | x
      | ~ f5($true)
      | epred2_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ f5($true)
      | epred2_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ f5($true)
      | epred2_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

fof(c_0_35,plain,
    ( ( ~ x
      | ~ f6($true)
      | f6($true)
      | ~ epred14_0 )
    & ( x
      | ~ f6($false)
      | f6($true)
      | ~ epred14_0 )
    & ( ~ x
      | f6($true)
      | f6($false)
      | ~ epred14_0 )
    & ( x
      | f6($false)
      | f6($false)
      | ~ epred14_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred14_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | x
      | epred14_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | x
      | epred14_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | x
      | epred14_0 )
    & ( ~ f6($false)
      | ~ x
      | x
      | epred14_0 )
    & ( ~ x
      | x
      | f6($false)
      | x
      | epred14_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | x
      | epred14_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | x
      | epred14_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | x
      | epred14_0 )
    & ( ~ f6($false)
      | f6($false)
      | x
      | epred14_0 )
    & ( ~ x
      | x
      | ~ x
      | f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | f6($true)
      | epred14_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | ~ x
      | f6($true)
      | epred14_0 )
    & ( ~ x
      | x
      | f6($false)
      | f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | f6($true)
      | epred14_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | f6($false)
      | f6($true)
      | epred14_0 )
    & ( ~ x
      | x
      | ~ f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | x
      | ~ f6($true)
      | epred14_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ f6($true)
      | epred14_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | epred14_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).

fof(c_0_36,plain,
    ( ( ~ x
      | ~ f6($true)
      | ~ f6($true)
      | ~ epred13_0 )
    & ( x
      | ~ f6($false)
      | ~ f6($true)
      | ~ epred13_0 )
    & ( ~ x
      | f6($true)
      | ~ f6($false)
      | ~ epred13_0 )
    & ( x
      | f6($false)
      | ~ f6($false)
      | ~ epred13_0 )
    & ( ~ x
      | x
      | ~ x
      | x
      | epred13_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | x
      | epred13_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | x
      | epred13_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | x
      | epred13_0 )
    & ( f6($false)
      | ~ x
      | x
      | epred13_0 )
    & ( ~ x
      | x
      | f6($false)
      | x
      | epred13_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | x
      | epred13_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | x
      | epred13_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | x
      | epred13_0 )
    & ( f6($false)
      | f6($false)
      | x
      | epred13_0 )
    & ( ~ x
      | x
      | ~ x
      | f6($true)
      | epred13_0 )
    & ( ~ f6($false)
      | x
      | ~ x
      | f6($true)
      | epred13_0 )
    & ( ~ x
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred13_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ x
      | f6($true)
      | epred13_0 )
    & ( f6($false)
      | ~ x
      | f6($true)
      | epred13_0 )
    & ( ~ x
      | x
      | f6($false)
      | f6($true)
      | epred13_0 )
    & ( ~ f6($false)
      | x
      | f6($false)
      | f6($true)
      | epred13_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred13_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred13_0 )
    & ( f6($false)
      | f6($false)
      | f6($true)
      | epred13_0 )
    & ( ~ x
      | x
      | f6($true)
      | epred13_0 )
    & ( ~ f6($false)
      | x
      | f6($true)
      | epred13_0 )
    & ( ~ x
      | ~ f6($true)
      | f6($true)
      | epred13_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($true)
      | epred13_0 )
    & ( f6($false)
      | f6($true)
      | epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).

cnf(c_0_37,plain,
    ( epred23_0
    | ~ f0($true)
    | ~ f0($true)
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_38,plain,
    ( ( epred7_0
      | ~ f2($true)
      | ~ f1($true)
      | ~ epred9_0 )
    & ( epred8_0
      | ~ f2($false)
      | ~ f1($true)
      | ~ epred9_0 )
    & ( epred7_0
      | f2($true)
      | ~ f1($false)
      | ~ epred9_0 )
    & ( epred8_0
      | f2($false)
      | ~ f1($false)
      | ~ epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( f1($false)
      | ~ epred8_0
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f2($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | f2($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | f2($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred7_0
      | epred9_0 )
    & ( f1($false)
      | f2($false)
      | ~ epred7_0
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | f2($true)
      | epred9_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | ~ epred8_0
      | f2($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | ~ epred8_0
      | f2($true)
      | epred9_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred8_0
      | f2($true)
      | epred9_0 )
    & ( f1($false)
      | ~ epred8_0
      | f2($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f2($false)
      | f2($true)
      | epred9_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | f2($false)
      | f2($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred9_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred9_0 )
    & ( f1($false)
      | f2($false)
      | f2($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f1($true)
      | epred9_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | f1($true)
      | epred9_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | f1($true)
      | epred9_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f1($true)
      | epred9_0 )
    & ( f1($false)
      | f1($true)
      | epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

cnf(c_0_39,plain,
    ( epred9_0
    | ~ f1($true)
    | ~ f1($true)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ epred26_0
    | ~ f0($true)
    | ~ epred12_0
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    ( epred25_0
    | f0($true)
    | epred11_0
    | f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_42,plain,
    ( epred26_0
    | ~ epred24_0
    | ~ f0($true)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_43,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f1($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_44,plain,
    ( epred22_0
  <=> ( ( ( ( epred19_0
            | ~ f2($true) )
          & ( epred20_0
            | ~ f2($false) ) )
        | f2($true) )
      & ( ( ( epred19_0
            | f2($true) )
          & ( epred20_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_26,c_0_27]),c_0_28]),c_0_27]),c_0_28]) ).

fof(c_0_45,plain,
    ( epred18_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f5($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f5($false) ) )
            | ~ f4($false) ) )
        | f4($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | ~ f5($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | ~ f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f6($false) ) )
                    | f6($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f6($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f6($false) ) )
                    | f6($false) ) )
                | f5($false) ) )
            | f4($false) ) )
        | f4($false) ) ) ),
    introduced(definition) ).

fof(c_0_46,plain,
    ( epred17_0
  <=> ( ( ( ( epred15_0
            | ~ f4($true) )
          & ( epred16_0
            | ~ f4($false) ) )
        | ~ f4($true) )
      & ( ( ( epred15_0
            | f4($true) )
          & ( epred16_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_29,c_0_30]),c_0_31]),c_0_30]),c_0_31]) ).

fof(c_0_47,plain,
    ( epred21_0
  <=> ( ( ( ( epred19_0
            | ~ f2($true) )
          & ( epred20_0
            | ~ f2($false) ) )
        | ~ f2($true) )
      & ( ( ( epred19_0
            | f2($true) )
          & ( epred20_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_32,c_0_27]),c_0_28]),c_0_27]),c_0_28]) ).

fof(c_0_48,plain,
    ( epred4_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f5($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f5($false) ) )
            | ~ f5($false) ) )
        | f5($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f5($false) ) )
            | f5($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f5($false) ) )
            | f5($false) ) )
        | f5($false) ) ) ),
    introduced(definition) ).

cnf(c_0_49,plain,
    ( x
    | f5($true)
    | epred1_0
    | ~ f6($false) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_50,plain,
    ( f6($false)
    | x
    | epred2_0
    | ~ f5($false) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_51,plain,
    ( f5($false)
    | f5($true)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_52,plain,
    ( x
    | f5($true)
    | ~ f6($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_53,plain,
    ( x
    | f6($false)
    | f5($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_54,plain,
    ( f1($false)
    | f1($false)
    | epred11_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_55,plain,
    ( epred14_0
    | ~ x
    | ~ f6($true)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_56,plain,
    ( f6($false)
    | f6($false)
    | x
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_57,plain,
    ( epred23_0
    | f0($true)
    | ~ f0($false)
    | ~ epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_58,plain,
    ( epred23_0
    | ~ epred25_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_37]) ).

cnf(c_0_59,plain,
    ( epred9_0
    | f1($true)
    | ~ f1($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_60,plain,
    ( f1($false)
    | f1($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_61,plain,
    ( epred9_0
    | ~ epred11_0
    | ~ f1($true) ),
    inference(cn,[status(thm)],[c_0_39]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ epred12_0
    | ~ epred26_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_40]) ).

cnf(c_0_63,negated_conjecture,
    ( epred11_0
    | epred25_0
    | f0($true) ),
    inference(cn,[status(thm)],[c_0_41]) ).

cnf(c_0_64,plain,
    ( f0($true)
    | epred26_0
    | ~ f0($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_65,plain,
    ( epred26_0
    | ~ epred24_0
    | ~ f0($true) ),
    inference(cn,[status(thm)],[c_0_42]) ).

cnf(c_0_66,plain,
    ( f1($true)
    | epred12_0
    | ~ f1($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_67,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f1($true) ),
    inference(cn,[status(thm)],[c_0_43]) ).

fof(c_0_68,plain,
    ( epred24_0
  <=> ( ( ( ( epred21_0
            | ~ f2($true) )
          & ( epred22_0
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( epred21_0
            | f2($true) )
          & ( epred22_0
            | f2($false) ) )
        | f1($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_32]),c_0_26]),c_0_32]),c_0_26]) ).

fof(c_0_69,plain,
    ( epred23_0
  <=> ( ( ( ( epred21_0
            | ~ f2($true) )
          & ( epred22_0
            | ~ f2($false) ) )
        | ~ f1($true) )
      & ( ( ( epred21_0
            | f2($true) )
          & ( epred22_0
            | f2($false) ) )
        | ~ f1($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_32]),c_0_26]),c_0_32]),c_0_26]) ).

fof(c_0_70,plain,
    ( ( epred19_0
      | ~ f2($true)
      | f2($true)
      | ~ epred22_0 )
    & ( epred20_0
      | ~ f2($false)
      | f2($true)
      | ~ epred22_0 )
    & ( epred19_0
      | f2($true)
      | f2($false)
      | ~ epred22_0 )
    & ( epred20_0
      | f2($false)
      | f2($false)
      | ~ epred22_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | ~ epred20_0
      | ~ epred19_0
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | ~ epred20_0
      | ~ epred19_0
      | epred22_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | ~ epred20_0
      | ~ epred19_0
      | epred22_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred20_0
      | ~ epred19_0
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred20_0
      | ~ epred19_0
      | epred22_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | f2($false)
      | ~ epred19_0
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | f2($false)
      | ~ epred19_0
      | epred22_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | f2($false)
      | ~ epred19_0
      | epred22_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred19_0
      | epred22_0 )
    & ( ~ f2($false)
      | f2($false)
      | ~ epred19_0
      | epred22_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | ~ epred20_0
      | f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | ~ epred20_0
      | f2($true)
      | epred22_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | ~ epred20_0
      | f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred20_0
      | f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred20_0
      | f2($true)
      | epred22_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | f2($false)
      | f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | f2($false)
      | f2($true)
      | epred22_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | f2($false)
      | f2($true)
      | epred22_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | ~ f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | ~ f2($true)
      | epred22_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | ~ f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f2($true)
      | epred22_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | epred22_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).

fof(c_0_71,plain,
    ( epred20_0
  <=> ( ( ( ( epred17_0
            | ~ f4($true) )
          & ( epred18_0
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( epred17_0
            | f4($true) )
          & ( epred18_0
            | f4($false) ) )
        | f3($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_28,c_0_29]),c_0_45]),c_0_29]),c_0_45]) ).

fof(c_0_72,plain,
    ( epred19_0
  <=> ( ( ( ( epred17_0
            | ~ f4($true) )
          & ( epred18_0
            | ~ f4($false) ) )
        | ~ f3($true) )
      & ( ( ( epred17_0
            | f4($true) )
          & ( epred18_0
            | f4($false) ) )
        | ~ f3($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_29]),c_0_45]),c_0_29]),c_0_45]) ).

fof(c_0_73,plain,
    ( ( epred15_0
      | ~ f4($true)
      | ~ f4($true)
      | ~ epred17_0 )
    & ( epred16_0
      | ~ f4($false)
      | ~ f4($true)
      | ~ epred17_0 )
    & ( epred15_0
      | f4($true)
      | ~ f4($false)
      | ~ epred17_0 )
    & ( epred16_0
      | f4($false)
      | ~ f4($false)
      | ~ epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( f4($false)
      | ~ epred16_0
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f4($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | f4($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | f4($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred15_0
      | epred17_0 )
    & ( f4($false)
      | f4($false)
      | ~ epred15_0
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | f4($true)
      | epred17_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | ~ epred16_0
      | f4($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | ~ epred16_0
      | f4($true)
      | epred17_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred16_0
      | f4($true)
      | epred17_0 )
    & ( f4($false)
      | ~ epred16_0
      | f4($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f4($false)
      | f4($true)
      | epred17_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | f4($false)
      | f4($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred17_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred17_0 )
    & ( f4($false)
      | f4($false)
      | f4($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f4($true)
      | epred17_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | f4($true)
      | epred17_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | f4($true)
      | epred17_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($true)
      | epred17_0 )
    & ( f4($false)
      | f4($true)
      | epred17_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).

fof(c_0_74,plain,
    ( ( epred19_0
      | ~ f2($true)
      | ~ f2($true)
      | ~ epred21_0 )
    & ( epred20_0
      | ~ f2($false)
      | ~ f2($true)
      | ~ epred21_0 )
    & ( epred19_0
      | f2($true)
      | ~ f2($false)
      | ~ epred21_0 )
    & ( epred20_0
      | f2($false)
      | ~ f2($false)
      | ~ epred21_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | ~ epred20_0
      | ~ epred19_0
      | epred21_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | ~ epred20_0
      | ~ epred19_0
      | epred21_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | ~ epred20_0
      | ~ epred19_0
      | epred21_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred20_0
      | ~ epred19_0
      | epred21_0 )
    & ( f2($false)
      | ~ epred20_0
      | ~ epred19_0
      | epred21_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | f2($false)
      | ~ epred19_0
      | epred21_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | f2($false)
      | ~ epred19_0
      | epred21_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | f2($false)
      | ~ epred19_0
      | epred21_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred19_0
      | epred21_0 )
    & ( f2($false)
      | f2($false)
      | ~ epred19_0
      | epred21_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | ~ epred20_0
      | f2($true)
      | epred21_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | ~ epred20_0
      | f2($true)
      | epred21_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | ~ epred20_0
      | f2($true)
      | epred21_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred20_0
      | f2($true)
      | epred21_0 )
    & ( f2($false)
      | ~ epred20_0
      | f2($true)
      | epred21_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | f2($false)
      | f2($true)
      | epred21_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | f2($false)
      | f2($true)
      | epred21_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred21_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred21_0 )
    & ( f2($false)
      | f2($false)
      | f2($true)
      | epred21_0 )
    & ( ~ epred20_0
      | ~ epred19_0
      | f2($true)
      | epred21_0 )
    & ( ~ f2($false)
      | ~ epred19_0
      | f2($true)
      | epred21_0 )
    & ( ~ epred20_0
      | ~ f2($true)
      | f2($true)
      | epred21_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($true)
      | epred21_0 )
    & ( f2($false)
      | f2($true)
      | epred21_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).

fof(c_0_75,plain,
    ( epred5_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | ~ f4($false) ) )
        | ~ f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | f4($false) ) )
        | ~ f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_76,plain,
    ( epred6_0
  <=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | ~ f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | ~ f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | ~ f5($false) ) )
            | f4($true) )
          & ( ( ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | ~ f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | ~ f5($false) ) )
                | f5($true) )
              & ( ( ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | ~ f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | ~ f5($false) ) )
                    | f5($true) )
                  & ( ( ( ( ( ~ x
                            | ~ f6($true) )
                          & ( x
                            | ~ f6($false) ) )
                        | f5($true) )
                      & ( ( ( ~ x
                            | f6($true) )
                          & ( x
                            | f6($false) ) )
                        | f5($false) ) )
                    | f5($false) ) )
                | f5($false) ) )
            | f4($false) ) )
        | f3($false) ) ) ),
    introduced(definition) ).

fof(c_0_77,plain,
    ( epred3_0
  <=> ( ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f5($false) ) )
            | ~ f5($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f5($false) ) )
            | ~ f5($false) ) )
        | ~ f5($true) )
      & ( ( ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | ~ f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | ~ f5($false) ) )
            | f5($true) )
          & ( ( ( ( ( ~ x
                    | ~ f6($true) )
                  & ( x
                    | ~ f6($false) ) )
                | f5($true) )
              & ( ( ( ~ x
                    | f6($true) )
                  & ( x
                    | f6($false) ) )
                | f5($false) ) )
            | f5($false) ) )
        | ~ f5($false) ) ) ),
    introduced(definition) ).

fof(c_0_78,plain,
    ( epred4_0
  <=> ( ( ( ( epred1_0
            | ~ f5($true) )
          & ( epred2_0
            | ~ f5($false) ) )
        | f5($true) )
      & ( ( ( epred1_0
            | f5($true) )
          & ( epred2_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_48,c_0_16]),c_0_17]),c_0_16]),c_0_17]) ).

cnf(c_0_79,plain,
    ( f5($true)
    | epred1_0
    | ~ x
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_80,plain,
    ( f6($true)
    | epred2_0
    | ~ f5($false)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_81,plain,
    ( epred2_0
    | epred1_0
    | f5($true)
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).

cnf(c_0_82,plain,
    ( f5($true)
    | ~ x
    | ~ f6($true)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_83,plain,
    ( f6($true)
    | f5($false)
    | ~ x
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_84,plain,
    ( f5($false)
    | f5($true)
    | x
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_85,plain,
    ( epred24_0
    | f0($false)
    | f0($false)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ f0($false)
    | ~ epred25_0
    | ~ f0($false)
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_87,negated_conjecture,
    ( epred26_0
    | f0($false)
    | epred12_0
    | f0($false) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_88,plain,
    ( f1($true)
    | epred11_0
    | ~ f1($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_89,plain,
    ( epred11_0
    | f1($false)
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[c_0_54]) ).

cnf(c_0_90,plain,
    ( f6($true)
    | epred14_0
    | ~ f6($false)
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_91,plain,
    ( epred14_0
    | ~ x
    | ~ f6($true) ),
    inference(cn,[status(thm)],[c_0_55]) ).

cnf(c_0_92,plain,
    ( x
    | f6($true)
    | epred13_0
    | ~ f6($false) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_93,plain,
    ( x
    | epred13_0
    | f6($false) ),
    inference(cn,[status(thm)],[c_0_56]) ).

fof(c_0_94,plain,
    ( epred16_0
  <=> ( ( ( ( epred13_0
            | ~ f6($true) )
          & ( epred14_0
            | ~ f6($false) ) )
        | f5($true) )
      & ( ( ( epred13_0
            | f6($true) )
          & ( epred14_0
            | f6($false) ) )
        | f5($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31,c_0_19]),c_0_18]),c_0_19]),c_0_18]) ).

fof(c_0_95,plain,
    ( epred15_0
  <=> ( ( ( ( epred13_0
            | ~ f6($true) )
          & ( epred14_0
            | ~ f6($false) ) )
        | ~ f5($true) )
      & ( ( ( epred13_0
            | f6($true) )
          & ( epred14_0
            | f6($false) ) )
        | ~ f5($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30,c_0_19]),c_0_18]),c_0_19]),c_0_18]) ).

cnf(c_0_96,plain,
    ( epred23_0
    | ~ epred25_0
    | ~ f0($false) ),
    inference(csr,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_97,negated_conjecture,
    ( epred26_0
    | f0($false)
    | epred11_0
    | f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_98,plain,
    ( epred9_0
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_99,negated_conjecture,
    ( epred25_0
    | epred11_0
    | ~ epred26_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_100,plain,
    ( epred26_0
    | ~ epred24_0
    | ~ f0($false) ),
    inference(csr,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_101,plain,
    ( f0($false)
    | f0($true)
    | epred25_0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_102,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ f1($false) ),
    inference(csr,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_103,plain,
    ( f1($false)
    | f1($true)
    | epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_104,plain,
    ( epred12_0
    | ~ epred10_0
    | ~ epred9_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_105,plain,
    ( ( epred21_0
      | ~ f2($true)
      | f1($true)
      | ~ epred24_0 )
    & ( epred22_0
      | ~ f2($false)
      | f1($true)
      | ~ epred24_0 )
    & ( epred21_0
      | f2($true)
      | f1($false)
      | ~ epred24_0 )
    & ( epred22_0
      | f2($false)
      | f1($false)
      | ~ epred24_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | ~ epred22_0
      | ~ epred21_0
      | epred24_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | ~ epred22_0
      | ~ epred21_0
      | epred24_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | ~ epred22_0
      | ~ epred21_0
      | epred24_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred22_0
      | ~ epred21_0
      | epred24_0 )
    & ( ~ f1($false)
      | ~ epred22_0
      | ~ epred21_0
      | epred24_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | f2($false)
      | ~ epred21_0
      | epred24_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | f2($false)
      | ~ epred21_0
      | epred24_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | f2($false)
      | ~ epred21_0
      | epred24_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred21_0
      | epred24_0 )
    & ( ~ f1($false)
      | f2($false)
      | ~ epred21_0
      | epred24_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | ~ epred22_0
      | f2($true)
      | epred24_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | ~ epred22_0
      | f2($true)
      | epred24_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | ~ epred22_0
      | f2($true)
      | epred24_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred22_0
      | f2($true)
      | epred24_0 )
    & ( ~ f1($false)
      | ~ epred22_0
      | f2($true)
      | epred24_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | f2($false)
      | f2($true)
      | epred24_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | f2($false)
      | f2($true)
      | epred24_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred24_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred24_0 )
    & ( ~ f1($false)
      | f2($false)
      | f2($true)
      | epred24_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | ~ f1($true)
      | epred24_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | ~ f1($true)
      | epred24_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | ~ f1($true)
      | epred24_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f1($true)
      | epred24_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred24_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).

fof(c_0_106,plain,
    ( ( epred21_0
      | ~ f2($true)
      | ~ f1($true)
      | ~ epred23_0 )
    & ( epred22_0
      | ~ f2($false)
      | ~ f1($true)
      | ~ epred23_0 )
    & ( epred21_0
      | f2($true)
      | ~ f1($false)
      | ~ epred23_0 )
    & ( epred22_0
      | f2($false)
      | ~ f1($false)
      | ~ epred23_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | ~ epred22_0
      | ~ epred21_0
      | epred23_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | ~ epred22_0
      | ~ epred21_0
      | epred23_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | ~ epred22_0
      | ~ epred21_0
      | epred23_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred22_0
      | ~ epred21_0
      | epred23_0 )
    & ( f1($false)
      | ~ epred22_0
      | ~ epred21_0
      | epred23_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | f2($false)
      | ~ epred21_0
      | epred23_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | f2($false)
      | ~ epred21_0
      | epred23_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | f2($false)
      | ~ epred21_0
      | epred23_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred21_0
      | epred23_0 )
    & ( f1($false)
      | f2($false)
      | ~ epred21_0
      | epred23_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | ~ epred22_0
      | f2($true)
      | epred23_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | ~ epred22_0
      | f2($true)
      | epred23_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | ~ epred22_0
      | f2($true)
      | epred23_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred22_0
      | f2($true)
      | epred23_0 )
    & ( f1($false)
      | ~ epred22_0
      | f2($true)
      | epred23_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | f2($false)
      | f2($true)
      | epred23_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | f2($false)
      | f2($true)
      | epred23_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred23_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred23_0 )
    & ( f1($false)
      | f2($false)
      | f2($true)
      | epred23_0 )
    & ( ~ epred22_0
      | ~ epred21_0
      | f1($true)
      | epred23_0 )
    & ( ~ f2($false)
      | ~ epred21_0
      | f1($true)
      | epred23_0 )
    & ( ~ epred22_0
      | ~ f2($true)
      | f1($true)
      | epred23_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f1($true)
      | epred23_0 )
    & ( f1($false)
      | f1($true)
      | epred23_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).

cnf(c_0_107,plain,
    ( epred22_0
    | ~ epred20_0
    | ~ f2($true)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_108,plain,
    ( ( epred17_0
      | ~ f4($true)
      | f3($true)
      | ~ epred20_0 )
    & ( epred18_0
      | ~ f4($false)
      | f3($true)
      | ~ epred20_0 )
    & ( epred17_0
      | f4($true)
      | f3($false)
      | ~ epred20_0 )
    & ( epred18_0
      | f4($false)
      | f3($false)
      | ~ epred20_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ epred18_0
      | ~ epred17_0
      | epred20_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | ~ epred18_0
      | ~ epred17_0
      | epred20_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | ~ epred18_0
      | ~ epred17_0
      | epred20_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred18_0
      | ~ epred17_0
      | epred20_0 )
    & ( ~ f3($false)
      | ~ epred18_0
      | ~ epred17_0
      | epred20_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | f4($false)
      | ~ epred17_0
      | epred20_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | f4($false)
      | ~ epred17_0
      | epred20_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | f4($false)
      | ~ epred17_0
      | epred20_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred17_0
      | epred20_0 )
    & ( ~ f3($false)
      | f4($false)
      | ~ epred17_0
      | epred20_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ epred18_0
      | f4($true)
      | epred20_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | ~ epred18_0
      | f4($true)
      | epred20_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | ~ epred18_0
      | f4($true)
      | epred20_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred18_0
      | f4($true)
      | epred20_0 )
    & ( ~ f3($false)
      | ~ epred18_0
      | f4($true)
      | epred20_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | f4($false)
      | f4($true)
      | epred20_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | f4($false)
      | f4($true)
      | epred20_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred20_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred20_0 )
    & ( ~ f3($false)
      | f4($false)
      | f4($true)
      | epred20_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ f3($true)
      | epred20_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | ~ f3($true)
      | epred20_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | ~ f3($true)
      | epred20_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f3($true)
      | epred20_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred20_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).

fof(c_0_109,plain,
    ( ( epred17_0
      | ~ f4($true)
      | ~ f3($true)
      | ~ epred19_0 )
    & ( epred18_0
      | ~ f4($false)
      | ~ f3($true)
      | ~ epred19_0 )
    & ( epred17_0
      | f4($true)
      | ~ f3($false)
      | ~ epred19_0 )
    & ( epred18_0
      | f4($false)
      | ~ f3($false)
      | ~ epred19_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ epred18_0
      | ~ epred17_0
      | epred19_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | ~ epred18_0
      | ~ epred17_0
      | epred19_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | ~ epred18_0
      | ~ epred17_0
      | epred19_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred18_0
      | ~ epred17_0
      | epred19_0 )
    & ( f3($false)
      | ~ epred18_0
      | ~ epred17_0
      | epred19_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | f4($false)
      | ~ epred17_0
      | epred19_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | f4($false)
      | ~ epred17_0
      | epred19_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | f4($false)
      | ~ epred17_0
      | epred19_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred17_0
      | epred19_0 )
    & ( f3($false)
      | f4($false)
      | ~ epred17_0
      | epred19_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | ~ epred18_0
      | f4($true)
      | epred19_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | ~ epred18_0
      | f4($true)
      | epred19_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | ~ epred18_0
      | f4($true)
      | epred19_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred18_0
      | f4($true)
      | epred19_0 )
    & ( f3($false)
      | ~ epred18_0
      | f4($true)
      | epred19_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | f4($false)
      | f4($true)
      | epred19_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | f4($false)
      | f4($true)
      | epred19_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred19_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred19_0 )
    & ( f3($false)
      | f4($false)
      | f4($true)
      | epred19_0 )
    & ( ~ epred18_0
      | ~ epred17_0
      | f3($true)
      | epred19_0 )
    & ( ~ f4($false)
      | ~ epred17_0
      | f3($true)
      | epred19_0 )
    & ( ~ epred18_0
      | ~ f4($true)
      | f3($true)
      | epred19_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f3($true)
      | epred19_0 )
    & ( f3($false)
      | f3($true)
      | epred19_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).

fof(c_0_110,plain,
    ( epred18_0
  <=> ( ( ( ( epred15_0
            | ~ f4($true) )
          & ( epred16_0
            | ~ f4($false) ) )
        | f4($true) )
      & ( ( ( epred15_0
            | f4($true) )
          & ( epred16_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_45,c_0_30]),c_0_31]),c_0_30]),c_0_31]) ).

cnf(c_0_111,plain,
    ( f4($false)
    | f4($false)
    | epred17_0
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_112,plain,
    ( f2($false)
    | f2($false)
    | epred21_0
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

fof(c_0_113,plain,
    ( epred8_0
  <=> ( ( ( ( epred5_0
            | ~ f3($true) )
          & ( epred6_0
            | ~ f3($false) ) )
        | f3($true) )
      & ( ( ( epred5_0
            | f3($true) )
          & ( epred6_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_11,c_0_75]),c_0_76]),c_0_75]),c_0_76]) ).

fof(c_0_114,plain,
    ( epred3_0
  <=> ( ( ( ( epred1_0
            | ~ f5($true) )
          & ( epred2_0
            | ~ f5($false) ) )
        | ~ f5($true) )
      & ( ( ( epred1_0
            | f5($true) )
          & ( epred2_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_77,c_0_16]),c_0_17]),c_0_16]),c_0_17]) ).

fof(c_0_115,plain,
    ( ( epred1_0
      | ~ f5($true)
      | f5($true)
      | ~ epred4_0 )
    & ( epred2_0
      | ~ f5($false)
      | f5($true)
      | ~ epred4_0 )
    & ( epred1_0
      | f5($true)
      | f5($false)
      | ~ epred4_0 )
    & ( epred2_0
      | f5($false)
      | f5($false)
      | ~ epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred2_0
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f5($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | f5($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | f5($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ f5($false)
      | f5($false)
      | ~ epred1_0
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | ~ epred2_0
      | f5($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | ~ epred2_0
      | f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred2_0
      | f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred2_0
      | f5($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f5($false)
      | f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | f5($false)
      | f5($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | f5($false)
      | f5($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | ~ f5($true)
      | epred4_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | ~ f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ f5($true)
      | epred4_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])]) ).

cnf(c_0_116,plain,
    ( x
    | epred2_0
    | ~ f6($false)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_117,plain,
    ( f5($false)
    | f6($false)
    | x
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_118,plain,
    ( epred2_0
    | epred1_0
    | f5($true) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_51]) ).

fof(c_0_119,plain,
    ( epred7_0
  <=> ( ( ( ( epred5_0
            | ~ f3($true) )
          & ( epred6_0
            | ~ f3($false) ) )
        | ~ f3($true) )
      & ( ( ( epred5_0
            | f3($true) )
          & ( epred6_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_10,c_0_75]),c_0_76]),c_0_75]),c_0_76]) ).

cnf(c_0_120,plain,
    ( ~ x
    | ~ f6($true)
    | ~ f5($true)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_121,plain,
    ( f6($true)
    | ~ x
    | ~ f5($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_122,plain,
    ( x
    | f6($false)
    | ~ f5($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_123,plain,
    ( f5($false)
    | f5($true)
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

fof(c_0_124,plain,
    ( epred10_0
  <=> ( ( ( ( epred7_0
            | ~ f2($true) )
          & ( epred8_0
            | ~ f2($false) ) )
        | f1($true) )
      & ( ( ( epred7_0
            | f2($true) )
          & ( epred8_0
            | f2($false) ) )
        | f1($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6,c_0_10]),c_0_11]),c_0_10]),c_0_11]) ).

cnf(c_0_125,plain,
    ( epred10_0
    | f1($false)
    | f1($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ f0($false)
    | ~ f0($true)
    | ~ f0($false)
    | ~ f0($true) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_127,plain,
    ( epred24_0
    | f0($true)
    | ~ f0($false)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_128,plain,
    ( epred24_0
    | f0($false)
    | ~ epred26_0 ),
    inference(cn,[status(thm)],[c_0_85]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ epred11_0
    | ~ epred25_0
    | ~ f0($false) ),
    inference(cn,[status(thm)],[c_0_86]) ).

cnf(c_0_130,negated_conjecture,
    ( epred12_0
    | epred26_0
    | f0($false) ),
    inference(cn,[status(thm)],[c_0_87]) ).

cnf(c_0_131,plain,
    ( epred12_0
    | ~ f1($false)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_132,plain,
    ( epred11_0
    | f1($true)
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_133,plain,
    ( ~ x
    | ~ f6($true)
    | ~ f6($true)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_134,plain,
    ( epred14_0
    | ~ f6($false)
    | ~ x ),
    inference(csr,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_135,plain,
    ( f6($false)
    | f6($true)
    | epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_136,plain,
    ( epred13_0
    | f6($true)
    | x ),
    inference(csr,[status(thm)],[c_0_92,c_0_93]) ).

fof(c_0_137,plain,
    ( ( epred13_0
      | ~ f6($true)
      | f5($true)
      | ~ epred16_0 )
    & ( epred14_0
      | ~ f6($false)
      | f5($true)
      | ~ epred16_0 )
    & ( epred13_0
      | f6($true)
      | f5($false)
      | ~ epred16_0 )
    & ( epred14_0
      | f6($false)
      | f5($false)
      | ~ epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f5($false)
      | ~ epred14_0
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f6($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | f6($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | f6($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ f5($false)
      | f6($false)
      | ~ epred13_0
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | f6($true)
      | epred16_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | ~ epred14_0
      | f6($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | ~ epred14_0
      | f6($true)
      | epred16_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred14_0
      | f6($true)
      | epred16_0 )
    & ( ~ f5($false)
      | ~ epred14_0
      | f6($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f6($false)
      | f6($true)
      | epred16_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | f6($false)
      | f6($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred16_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred16_0 )
    & ( ~ f5($false)
      | f6($false)
      | f6($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ f5($true)
      | epred16_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | ~ f5($true)
      | epred16_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | ~ f5($true)
      | epred16_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ f5($true)
      | epred16_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | epred16_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])]) ).

fof(c_0_138,plain,
    ( ( epred13_0
      | ~ f6($true)
      | ~ f5($true)
      | ~ epred15_0 )
    & ( epred14_0
      | ~ f6($false)
      | ~ f5($true)
      | ~ epred15_0 )
    & ( epred13_0
      | f6($true)
      | ~ f5($false)
      | ~ epred15_0 )
    & ( epred14_0
      | f6($false)
      | ~ f5($false)
      | ~ epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( f5($false)
      | ~ epred14_0
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f6($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | f6($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | f6($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | ~ epred13_0
      | epred15_0 )
    & ( f5($false)
      | f6($false)
      | ~ epred13_0
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | ~ epred14_0
      | f6($true)
      | epred15_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | ~ epred14_0
      | f6($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | ~ epred14_0
      | f6($true)
      | epred15_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | ~ epred14_0
      | f6($true)
      | epred15_0 )
    & ( f5($false)
      | ~ epred14_0
      | f6($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f6($false)
      | f6($true)
      | epred15_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | f6($false)
      | f6($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred15_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f6($false)
      | f6($true)
      | epred15_0 )
    & ( f5($false)
      | f6($false)
      | f6($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ epred13_0
      | f5($true)
      | epred15_0 )
    & ( ~ f6($false)
      | ~ epred13_0
      | f5($true)
      | epred15_0 )
    & ( ~ epred14_0
      | ~ f6($true)
      | f5($true)
      | epred15_0 )
    & ( ~ f6($false)
      | ~ f6($true)
      | f5($true)
      | epred15_0 )
    & ( f5($false)
      | f5($true)
      | epred15_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])]) ).

cnf(c_0_139,negated_conjecture,
    ( epred26_0
    | epred23_0
    | epred11_0
    | f0($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_63]) ).

cnf(c_0_140,plain,
    ( epred23_0
    | f0($true)
    | f0($false)
    | ~ epred26_0 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_141,plain,
    ( epred25_0
    | epred9_0
    | ~ epred26_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_142,plain,
    ( epred26_0
    | epred25_0
    | ~ epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_65]) ).

cnf(c_0_143,plain,
    ( epred12_0
    | epred11_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_67]) ).

cnf(c_0_144,plain,
    ( epred12_0
    | ~ epred9_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[c_0_104]) ).

cnf(c_0_145,plain,
    ( f2($true)
    | epred24_0
    | ~ f1($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_146,plain,
    ( f1($false)
    | f2($true)
    | epred23_0
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_147,plain,
    ( f2($true)
    | epred22_0
    | ~ f2($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_148,plain,
    ( epred22_0
    | ~ epred20_0
    | ~ f2($true) ),
    inference(cn,[status(thm)],[c_0_107]) ).

cnf(c_0_149,plain,
    ( f2($false)
    | epred24_0
    | ~ f1($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_150,plain,
    ( f1($false)
    | f2($false)
    | epred23_0
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_151,plain,
    ( f4($true)
    | epred20_0
    | ~ f3($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_152,plain,
    ( f3($false)
    | f4($true)
    | epred19_0
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

fof(c_0_153,plain,
    ( ( epred15_0
      | ~ f4($true)
      | f4($true)
      | ~ epred18_0 )
    & ( epred16_0
      | ~ f4($false)
      | f4($true)
      | ~ epred18_0 )
    & ( epred15_0
      | f4($true)
      | f4($false)
      | ~ epred18_0 )
    & ( epred16_0
      | f4($false)
      | f4($false)
      | ~ epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred16_0
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f4($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | f4($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | f4($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ f4($false)
      | f4($false)
      | ~ epred15_0
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ epred16_0
      | f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | ~ epred16_0
      | f4($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | ~ epred16_0
      | f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred16_0
      | f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred16_0
      | f4($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | f4($false)
      | f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | f4($false)
      | f4($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | f4($false)
      | f4($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ epred15_0
      | ~ f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ epred15_0
      | ~ f4($true)
      | epred18_0 )
    & ( ~ epred16_0
      | ~ f4($true)
      | ~ f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f4($true)
      | epred18_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | epred18_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])]) ).

cnf(c_0_154,plain,
    ( f4($true)
    | epred17_0
    | ~ f4($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_155,plain,
    ( epred17_0
    | f4($false)
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[c_0_111]) ).

cnf(c_0_156,plain,
    ( f2($true)
    | epred21_0
    | ~ f2($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_157,plain,
    ( epred21_0
    | f2($false)
    | ~ epred19_0 ),
    inference(cn,[status(thm)],[c_0_112]) ).

fof(c_0_158,plain,
    ( ( epred5_0
      | ~ f3($true)
      | f3($true)
      | ~ epred8_0 )
    & ( epred6_0
      | ~ f3($false)
      | f3($true)
      | ~ epred8_0 )
    & ( epred5_0
      | f3($true)
      | f3($false)
      | ~ epred8_0 )
    & ( epred6_0
      | f3($false)
      | f3($false)
      | ~ epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred6_0
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f3($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | f3($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | f3($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ f3($false)
      | f3($false)
      | ~ epred5_0
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | ~ epred6_0
      | f3($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | ~ epred6_0
      | f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred6_0
      | f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred6_0
      | f3($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f3($false)
      | f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | f3($false)
      | f3($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | f3($false)
      | f3($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | ~ f3($true)
      | epred8_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | ~ f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ f3($true)
      | epred8_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])]) ).

fof(c_0_159,plain,
    ( ( epred1_0
      | ~ f5($true)
      | ~ f5($true)
      | ~ epred3_0 )
    & ( epred2_0
      | ~ f5($false)
      | ~ f5($true)
      | ~ epred3_0 )
    & ( epred1_0
      | f5($true)
      | ~ f5($false)
      | ~ epred3_0 )
    & ( epred2_0
      | f5($false)
      | ~ f5($false)
      | ~ epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( f5($false)
      | ~ epred2_0
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f5($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | f5($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | f5($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | ~ epred1_0
      | epred3_0 )
    & ( f5($false)
      | f5($false)
      | ~ epred1_0
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | ~ epred2_0
      | f5($true)
      | epred3_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | ~ epred2_0
      | f5($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | ~ epred2_0
      | f5($true)
      | epred3_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | ~ epred2_0
      | f5($true)
      | epred3_0 )
    & ( f5($false)
      | ~ epred2_0
      | f5($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f5($false)
      | f5($true)
      | epred3_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | f5($false)
      | f5($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred3_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($false)
      | f5($true)
      | epred3_0 )
    & ( f5($false)
      | f5($false)
      | f5($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ epred1_0
      | f5($true)
      | epred3_0 )
    & ( ~ f5($false)
      | ~ epred1_0
      | f5($true)
      | epred3_0 )
    & ( ~ epred2_0
      | ~ f5($true)
      | f5($true)
      | epred3_0 )
    & ( ~ f5($false)
      | ~ f5($true)
      | f5($true)
      | epred3_0 )
    & ( f5($false)
      | f5($true)
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])]) ).

cnf(c_0_160,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f5($true)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_161,plain,
    ( epred2_0
    | ~ f5($false)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_162,plain,
    ( epred2_0
    | epred1_0
    | f5($false)
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).

fof(c_0_163,plain,
    ( ( epred5_0
      | ~ f3($true)
      | ~ f3($true)
      | ~ epred7_0 )
    & ( epred6_0
      | ~ f3($false)
      | ~ f3($true)
      | ~ epred7_0 )
    & ( epred5_0
      | f3($true)
      | ~ f3($false)
      | ~ epred7_0 )
    & ( epred6_0
      | f3($false)
      | ~ f3($false)
      | ~ epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( f3($false)
      | ~ epred6_0
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f3($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | f3($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | f3($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | ~ epred5_0
      | epred7_0 )
    & ( f3($false)
      | f3($false)
      | ~ epred5_0
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | ~ epred6_0
      | f3($true)
      | epred7_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | ~ epred6_0
      | f3($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | ~ epred6_0
      | f3($true)
      | epred7_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | ~ epred6_0
      | f3($true)
      | epred7_0 )
    & ( f3($false)
      | ~ epred6_0
      | f3($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f3($false)
      | f3($true)
      | epred7_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | f3($false)
      | f3($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred7_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($false)
      | f3($true)
      | epred7_0 )
    & ( f3($false)
      | f3($false)
      | f3($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ epred5_0
      | f3($true)
      | epred7_0 )
    & ( ~ f3($false)
      | ~ epred5_0
      | f3($true)
      | epred7_0 )
    & ( ~ epred6_0
      | ~ f3($true)
      | f3($true)
      | epred7_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | f3($true)
      | epred7_0 )
    & ( f3($false)
      | f3($true)
      | epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_119])])]) ).

cnf(c_0_164,plain,
    ( ~ epred1_0
    | ~ f5($true)
    | ~ f5($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_165,plain,
    ( f5($true)
    | x
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_122]),c_0_123]) ).

cnf(c_0_166,plain,
    ( epred20_0
    | f2($false)
    | f2($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_167,plain,
    ( ( epred7_0
      | ~ f2($true)
      | f1($true)
      | ~ epred10_0 )
    & ( epred8_0
      | ~ f2($false)
      | f1($true)
      | ~ epred10_0 )
    & ( epred7_0
      | f2($true)
      | f1($false)
      | ~ epred10_0 )
    & ( epred8_0
      | f2($false)
      | f1($false)
      | ~ epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f1($false)
      | ~ epred8_0
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f2($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | f2($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | f2($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ f1($false)
      | f2($false)
      | ~ epred7_0
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ epred8_0
      | f2($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | ~ epred8_0
      | f2($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | ~ epred8_0
      | f2($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ epred8_0
      | f2($true)
      | epred10_0 )
    & ( ~ f1($false)
      | ~ epred8_0
      | f2($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | f2($false)
      | f2($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | f2($false)
      | f2($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | f2($false)
      | f2($true)
      | epred10_0 )
    & ( ~ f1($false)
      | f2($false)
      | f2($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ epred7_0
      | ~ f1($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ epred7_0
      | ~ f1($true)
      | epred10_0 )
    & ( ~ epred8_0
      | ~ f2($true)
      | ~ f1($true)
      | epred10_0 )
    & ( ~ f2($false)
      | ~ f2($true)
      | ~ f1($true)
      | epred10_0 )
    & ( ~ f1($false)
      | ~ f1($true)
      | epred10_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])]) ).

cnf(c_0_168,plain,
    ( epred10_0
    | f1($true)
    | ~ f1($false)
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_169,plain,
    ( epred10_0
    | f1($false)
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_125]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ f0($true)
    | ~ f0($false) ),
    inference(cn,[status(thm)],[c_0_126]) ).

cnf(c_0_171,plain,
    ( epred24_0
    | f0($true)
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_172,negated_conjecture,
    ( epred26_0
    | epred12_0
    | ~ epred25_0
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_173,plain,
    ( epred12_0
    | epred11_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_89]),c_0_132]) ).

cnf(c_0_174,plain,
    ( f0($false)
    | f0($false)
    | epred25_0
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_175,plain,
    ( epred19_0
    | ~ f2($true)
    | ~ f2($true)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_176,plain,
    ( f6($true)
    | ~ x
    | ~ f6($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_177,plain,
    ( ~ x
    | ~ epred13_0
    | ~ f6($true) ),
    inference(cn,[status(thm)],[c_0_133]) ).

cnf(c_0_178,plain,
    ( epred14_0
    | epred13_0
    | f6($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_179,plain,
    ( epred16_0
    | ~ epred14_0
    | ~ f6($true)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_180,plain,
    ( f5($false)
    | f6($true)
    | epred15_0
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_181,plain,
    ( f5($false)
    | f5($true)
    | epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_182,plain,
    ( f5($true)
    | epred15_0
    | ~ epred14_0
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_183,plain,
    ( f6($true)
    | epred16_0
    | ~ f5($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_184,plain,
    ( epred26_0
    | epred23_0
    | epred11_0
    | ~ epred25_0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_139]) ).

cnf(c_0_185,plain,
    ( epred23_0
    | ~ epred26_0
    | ~ epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_140]),c_0_58]) ).

cnf(c_0_186,plain,
    ( epred25_0
    | epred9_0
    | ~ epred24_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_187,plain,
    ( epred12_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_143]),c_0_144]) ).

cnf(c_0_188,plain,
    ( epred24_0
    | ~ epred22_0
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_189,plain,
    ( f1($true)
    | epred23_0
    | ~ epred22_0
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_190,plain,
    ( epred24_0
    | epred23_0
    | f2($true)
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_191,plain,
    ( epred22_0
    | ~ epred20_0
    | ~ f2($false) ),
    inference(csr,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_192,plain,
    ( f2($false)
    | f2($true)
    | epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_193,plain,
    ( epred24_0
    | ~ f2($false)
    | ~ epred21_0
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_194,plain,
    ( f1($true)
    | epred23_0
    | ~ f2($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_195,plain,
    ( epred24_0
    | epred23_0
    | f2($false)
    | ~ epred21_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_196,plain,
    ( f4($false)
    | epred20_0
    | ~ f3($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_197,plain,
    ( f3($false)
    | f4($false)
    | epred19_0
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_198,plain,
    ( epred20_0
    | ~ epred18_0
    | ~ f4($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_199,plain,
    ( f3($true)
    | epred19_0
    | ~ epred18_0
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_200,plain,
    ( epred20_0
    | epred19_0
    | f4($true)
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_201,plain,
    ( epred18_0
    | ~ f4($false)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_202,plain,
    ( epred17_0
    | f4($true)
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_203,plain,
    ( epred22_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_204,plain,
    ( epred21_0
    | f2($true)
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_205,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f3($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

fof(c_0_206,plain,
    ( epred5_0
  <=> ( ( ( ( epred3_0
            | ~ f4($true) )
          & ( epred4_0
            | ~ f4($false) ) )
        | ~ f3($true) )
      & ( ( ( epred3_0
            | f4($true) )
          & ( epred4_0
            | f4($false) ) )
        | ~ f3($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_75,c_0_77]),c_0_48]),c_0_77]),c_0_48]) ).

fof(c_0_207,plain,
    ( epred6_0
  <=> ( ( ( ( epred3_0
            | ~ f4($true) )
          & ( epred4_0
            | ~ f4($false) ) )
        | f3($true) )
      & ( ( ( epred3_0
            | f4($true) )
          & ( epred4_0
            | f4($false) ) )
        | f3($false) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_76,c_0_77]),c_0_48]),c_0_77]),c_0_48]) ).

cnf(c_0_208,plain,
    ( f5($false)
    | f5($false)
    | epred3_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_209,plain,
    ( f5($true)
    | epred4_0
    | ~ f5($false)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_210,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f5($true) ),
    inference(cn,[status(thm)],[c_0_160]) ).

cnf(c_0_211,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_212,plain,
    ( epred2_0
    | ~ x
    | ~ f6($true)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_213,plain,
    ( f5($false)
    | f6($true)
    | epred1_0
    | ~ x ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_214,plain,
    ( epred2_0
    | epred1_0
    | x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_118]) ).

cnf(c_0_215,plain,
    ( f3($false)
    | f3($false)
    | epred7_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_216,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ f5($true)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_83]),c_0_164]) ).

cnf(c_0_217,plain,
    ( f5($true)
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_121]),c_0_165]),c_0_123]) ).

cnf(c_0_218,plain,
    ( epred2_0
    | f5($false)
    | f5($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_219,plain,
    ( epred15_0
    | ~ f4($true)
    | ~ f4($true)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_220,plain,
    ( epred20_0
    | f2($true)
    | ~ f2($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_221,plain,
    ( epred20_0
    | f2($false)
    | ~ epred22_0 ),
    inference(cn,[status(thm)],[c_0_166]) ).

cnf(c_0_222,plain,
    ( epred22_0
    | f2($false)
    | ~ f1($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_223,plain,
    ( epred22_0
    | f2($false)
    | f1($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_224,plain,
    ( epred21_0
    | f2($true)
    | ~ f1($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_225,plain,
    ( epred21_0
    | f2($true)
    | f1($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_226,plain,
    ( epred10_0
    | ~ f1($false)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_227,plain,
    ( epred10_0
    | f1($true)
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_228,negated_conjecture,
    ( epred24_0
    | ~ epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_128]),c_0_171]) ).

cnf(c_0_229,negated_conjecture,
    ( epred26_0
    | epred12_0
    | ~ epred25_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_230,plain,
    ( f0($true)
    | epred25_0
    | ~ f0($false)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_231,plain,
    ( epred25_0
    | f0($false)
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[c_0_174]) ).

cnf(c_0_232,plain,
    ( epred19_0
    | f2($true)
    | ~ f2($false)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_233,plain,
    ( epred19_0
    | ~ epred21_0
    | ~ f2($true) ),
    inference(cn,[status(thm)],[c_0_175]) ).

cnf(c_0_234,plain,
    ( x
    | f6($false)
    | f6($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_235,plain,
    ( ~ epred13_0
    | ~ f6($false)
    | ~ x ),
    inference(csr,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_236,plain,
    ( epred14_0
    | f6($false)
    | f5($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_237,plain,
    ( epred14_0
    | epred13_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_91,c_0_178]) ).

cnf(c_0_238,plain,
    ( epred14_0
    | ~ f6($false)
    | ~ f6($true) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_239,plain,
    ( f4($true)
    | epred18_0
    | ~ f4($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_240,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ f4($true)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_241,plain,
    ( epred16_0
    | ~ f5($false)
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_242,plain,
    ( epred16_0
    | epred15_0
    | f5($false)
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]) ).

cnf(c_0_243,plain,
    ( epred16_0
    | epred15_0
    | f5($true)
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_181]) ).

cnf(c_0_244,plain,
    ( epred23_0
    | epred9_0
    | ~ epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_184]),c_0_185]) ).

cnf(c_0_245,plain,
    ( epred25_0
    | epred9_0
    | ~ epred24_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_246,plain,
    ( epred24_0
    | epred23_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).

cnf(c_0_247,plain,
    ( epred22_0
    | epred21_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_148]) ).

cnf(c_0_248,plain,
    ( epred24_0
    | epred23_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).

cnf(c_0_249,plain,
    ( epred20_0
    | ~ f4($false)
    | ~ epred17_0
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_250,plain,
    ( f3($true)
    | epred19_0
    | ~ f4($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_251,plain,
    ( epred20_0
    | epred19_0
    | f4($false)
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_252,plain,
    ( epred20_0
    | epred19_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).

cnf(c_0_253,plain,
    ( epred18_0
    | epred17_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_155]),c_0_202]) ).

cnf(c_0_254,plain,
    ( epred22_0
    | epred21_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_157]),c_0_204]) ).

cnf(c_0_255,plain,
    ( f2($true)
    | epred10_0
    | ~ f1($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_256,plain,
    ( f1($false)
    | f2($true)
    | epred9_0
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_257,plain,
    ( f3($true)
    | epred8_0
    | ~ f3($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_258,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f3($true) ),
    inference(cn,[status(thm)],[c_0_205]) ).

fof(c_0_259,plain,
    ( ( epred3_0
      | ~ f4($true)
      | ~ f3($true)
      | ~ epred5_0 )
    & ( epred4_0
      | ~ f4($false)
      | ~ f3($true)
      | ~ epred5_0 )
    & ( epred3_0
      | f4($true)
      | ~ f3($false)
      | ~ epred5_0 )
    & ( epred4_0
      | f4($false)
      | ~ f3($false)
      | ~ epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( f3($false)
      | ~ epred4_0
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f4($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | f4($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | f4($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred3_0
      | epred5_0 )
    & ( f3($false)
      | f4($false)
      | ~ epred3_0
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | f4($true)
      | epred5_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | ~ epred4_0
      | f4($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | ~ epred4_0
      | f4($true)
      | epred5_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred4_0
      | f4($true)
      | epred5_0 )
    & ( f3($false)
      | ~ epred4_0
      | f4($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f4($false)
      | f4($true)
      | epred5_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | f4($false)
      | f4($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred5_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred5_0 )
    & ( f3($false)
      | f4($false)
      | f4($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f3($true)
      | epred5_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | f3($true)
      | epred5_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | f3($true)
      | epred5_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f3($true)
      | epred5_0 )
    & ( f3($false)
      | f3($true)
      | epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_206])])]) ).

cnf(c_0_260,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

fof(c_0_261,plain,
    ( ( epred3_0
      | ~ f4($true)
      | f3($true)
      | ~ epred6_0 )
    & ( epred4_0
      | ~ f4($false)
      | f3($true)
      | ~ epred6_0 )
    & ( epred3_0
      | f4($true)
      | f3($false)
      | ~ epred6_0 )
    & ( epred4_0
      | f4($false)
      | f3($false)
      | ~ epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f3($false)
      | ~ epred4_0
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f4($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | f4($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | f4($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ f3($false)
      | f4($false)
      | ~ epred3_0
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ epred4_0
      | f4($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | ~ epred4_0
      | f4($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | ~ epred4_0
      | f4($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ epred4_0
      | f4($true)
      | epred6_0 )
    & ( ~ f3($false)
      | ~ epred4_0
      | f4($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | f4($false)
      | f4($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | f4($false)
      | f4($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | f4($false)
      | f4($true)
      | epred6_0 )
    & ( ~ f3($false)
      | f4($false)
      | f4($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ epred3_0
      | ~ f3($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ epred3_0
      | ~ f3($true)
      | epred6_0 )
    & ( ~ epred4_0
      | ~ f4($true)
      | ~ f3($true)
      | epred6_0 )
    & ( ~ f4($false)
      | ~ f4($true)
      | ~ f3($true)
      | epred6_0 )
    & ( ~ f3($false)
      | ~ f3($true)
      | epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_207])])]) ).

cnf(c_0_262,plain,
    ( f5($true)
    | epred3_0
    | ~ f5($false)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_263,plain,
    ( epred3_0
    | f5($false)
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_208]) ).

cnf(c_0_264,plain,
    ( epred3_0
    | ~ epred2_0
    | ~ epred1_0
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_265,plain,
    ( epred4_0
    | ~ epred2_0
    | ~ f5($false) ),
    inference(csr,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_266,plain,
    ( epred4_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_211]) ).

cnf(c_0_267,plain,
    ( epred2_0
    | epred1_0
    | f5($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]),c_0_118]) ).

cnf(c_0_268,plain,
    ( f2($false)
    | epred10_0
    | ~ f1($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_269,plain,
    ( f1($false)
    | f2($false)
    | epred9_0
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_270,plain,
    ( f3($true)
    | epred7_0
    | ~ f3($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_271,plain,
    ( epred7_0
    | f3($false)
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_215]) ).

cnf(c_0_272,plain,
    ( epred7_0
    | ~ epred6_0
    | ~ epred5_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_273,plain,
    ( x
    | ~ f6($false)
    | ~ f5($true)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_274,plain,
    ( ~ epred2_0
    | ~ epred1_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_275,plain,
    ( epred2_0
    | f5($true)
    | ~ f5($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_276,plain,
    ( epred2_0
    | f5($false)
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[c_0_218]) ).

cnf(c_0_277,plain,
    ( epred6_0
    | f3($false)
    | f3($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_278,plain,
    ( epred15_0
    | f4($true)
    | ~ f4($false)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_279,plain,
    ( epred15_0
    | ~ epred17_0
    | ~ f4($true) ),
    inference(cn,[status(thm)],[c_0_219]) ).

cnf(c_0_280,plain,
    ( epred18_0
    | f4($false)
    | ~ f3($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_281,plain,
    ( epred18_0
    | f4($false)
    | f3($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_282,plain,
    ( epred17_0
    | f4($true)
    | ~ f3($false)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_283,plain,
    ( epred17_0
    | f4($true)
    | f3($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_284,plain,
    ( epred20_0
    | ~ f2($false)
    | ~ f2($true)
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_285,plain,
    ( epred20_0
    | f2($true)
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_286,plain,
    ( epred22_0
    | ~ f2($false)
    | ~ f1($true)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_287,plain,
    ( epred22_0
    | f1($true)
    | ~ f2($false)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_288,plain,
    ( epred22_0
    | f2($false)
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_289,plain,
    ( epred21_0
    | ~ f2($true)
    | ~ f1($true)
    | ~ epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_290,plain,
    ( epred21_0
    | f1($true)
    | ~ f2($true)
    | ~ epred24_0 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_291,plain,
    ( epred21_0
    | f2($true)
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_292,plain,
    ( epred10_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_169]),c_0_227]) ).

cnf(c_0_293,negated_conjecture,
    ( epred24_0
    | epred12_0
    | ~ epred25_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_294,plain,
    ( epred25_0
    | f0($true)
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_295,plain,
    ( epred19_0
    | ~ epred21_0
    | ~ f2($false) ),
    inference(csr,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_296,plain,
    ( epred19_0
    | f2($true)
    | f2($false)
    | ~ epred22_0 ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_297,plain,
    ( f6($true)
    | f6($false)
    | ~ x
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_298,plain,
    ( x
    | f6($false)
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_234]) ).

cnf(c_0_299,plain,
    ( x
    | f6($true)
    | ~ f6($false)
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_300,plain,
    ( epred14_0
    | f5($true)
    | ~ f6($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_301,plain,
    ( epred2_0
    | ~ epred13_0
    | ~ f5($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_177,c_0_80]) ).

cnf(c_0_302,plain,
    ( epred14_0
    | f5($false)
    | ~ epred16_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).

cnf(c_0_303,plain,
    ( epred14_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_93]),c_0_178]),c_0_237]) ).

cnf(c_0_304,plain,
    ( epred13_0
    | f5($true)
    | ~ f6($true)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_305,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ f4($false) ),
    inference(csr,[status(thm)],[c_0_239,c_0_201]) ).

cnf(c_0_306,plain,
    ( f4($false)
    | f4($true)
    | epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_307,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ f4($true) ),
    inference(cn,[status(thm)],[c_0_240]) ).

cnf(c_0_308,plain,
    ( epred20_0
    | ~ epred18_0
    | ~ epred17_0
    | ~ epred18_0
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_309,plain,
    ( epred18_0
    | ~ epred16_0
    | ~ epred15_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_310,plain,
    ( epred17_0
    | ~ epred16_0
    | ~ epred15_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_311,plain,
    ( epred16_0
    | epred15_0
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]) ).

cnf(c_0_312,plain,
    ( epred23_0
    | epred9_0
    | ~ epred24_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_313,plain,
    ( epred24_0
    | epred23_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]) ).

cnf(c_0_314,plain,
    ( epred20_0
    | epred19_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).

cnf(c_0_315,plain,
    ( epred20_0
    | epred19_0
    | epred17_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_316,plain,
    ( epred24_0
    | epred23_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_254]),c_0_248]) ).

cnf(c_0_317,plain,
    ( epred10_0
    | ~ epred8_0
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_318,plain,
    ( f1($true)
    | epred9_0
    | ~ epred8_0
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_319,plain,
    ( epred10_0
    | epred9_0
    | f2($true)
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_320,plain,
    ( epred8_0
    | ~ epred6_0
    | ~ f3($false) ),
    inference(csr,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_321,plain,
    ( f3($false)
    | f3($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_322,plain,
    ( epred8_0
    | ~ epred5_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_260]) ).

cnf(c_0_323,plain,
    ( f4($true)
    | epred6_0
    | ~ f3($false)
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_324,plain,
    ( f3($false)
    | f4($true)
    | epred5_0
    | ~ epred4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_325,plain,
    ( epred3_0
    | f5($true)
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_326,plain,
    ( epred3_0
    | ~ epred1_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[c_0_264]) ).

cnf(c_0_327,plain,
    ( epred4_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_51]),c_0_210]),c_0_266]) ).

cnf(c_0_328,plain,
    ( epred2_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_267]),c_0_118]) ).

cnf(c_0_329,plain,
    ( f4($false)
    | epred6_0
    | ~ f3($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_330,plain,
    ( f3($false)
    | f4($false)
    | epred5_0
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_331,plain,
    ( epred10_0
    | ~ f2($false)
    | ~ epred7_0
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_332,plain,
    ( f1($true)
    | epred9_0
    | ~ f2($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_333,plain,
    ( epred10_0
    | epred9_0
    | f2($false)
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_334,plain,
    ( epred6_0
    | ~ f3($false)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_335,plain,
    ( epred7_0
    | f3($true)
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_336,plain,
    ( epred7_0
    | ~ epred5_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_272]) ).

cnf(c_0_337,plain,
    ( epred13_0
    | f6($true)
    | f5($false)
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_338,plain,
    ( epred16_0
    | f4($false)
    | f4($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_339,plain,
    ( ~ epred1_0
    | ~ f5($true)
    | ~ f5($false) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_122]),c_0_164]) ).

cnf(c_0_340,plain,
    ( f5($false)
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_53]),c_0_217]),c_0_274]) ).

cnf(c_0_341,plain,
    ( epred2_0
    | f5($true)
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_342,plain,
    ( epred1_0
    | ~ f5($true)
    | ~ f5($true)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_343,plain,
    ( epred6_0
    | f3($true)
    | ~ f3($false)
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_344,plain,
    ( epred6_0
    | f3($false)
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[c_0_277]) ).

cnf(c_0_345,plain,
    ( epred8_0
    | f2($false)
    | ~ f1($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_346,plain,
    ( epred8_0
    | f2($false)
    | f1($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_347,plain,
    ( epred15_0
    | ~ epred17_0
    | ~ f4($false) ),
    inference(csr,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_348,plain,
    ( epred15_0
    | f4($true)
    | f4($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_349,plain,
    ( epred18_0
    | ~ f4($false)
    | ~ f3($true)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_350,plain,
    ( epred18_0
    | f3($true)
    | ~ f4($false)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_351,plain,
    ( epred18_0
    | f4($false)
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_352,plain,
    ( epred17_0
    | ~ f4($true)
    | ~ f3($true)
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_353,plain,
    ( epred17_0
    | f3($true)
    | ~ f4($true)
    | ~ epred20_0 ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_354,plain,
    ( epred17_0
    | f4($true)
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_355,plain,
    ( epred20_0
    | ~ epred22_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_221]),c_0_285]) ).

cnf(c_0_356,plain,
    ( epred22_0
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).

cnf(c_0_357,plain,
    ( epred21_0
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]) ).

cnf(c_0_358,negated_conjecture,
    ( epred24_0
    | epred10_0
    | ~ epred25_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_359,negated_conjecture,
    ( epred25_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_231]),c_0_294]) ).

cnf(c_0_360,plain,
    ( epred19_0
    | ~ epred22_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_233]) ).

cnf(c_0_361,plain,
    ( epred5_0
    | ~ f3($true)
    | ~ f3($true)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_362,plain,
    ( epred7_0
    | f2($true)
    | ~ f1($false)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_363,plain,
    ( epred7_0
    | f2($true)
    | f1($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_364,plain,
    ( f6($false)
    | f6($true)
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_365,plain,
    ( f6($true)
    | x
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[c_0_299,c_0_298]) ).

cnf(c_0_366,plain,
    ( epred14_0
    | f5($false)
    | f5($true)
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_236]) ).

cnf(c_0_367,plain,
    ( epred14_0
    | epred2_0
    | ~ epred16_0
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_303]) ).

cnf(c_0_368,plain,
    ( epred13_0
    | x
    | ~ epred1_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_273,c_0_93]) ).

cnf(c_0_369,plain,
    ( epred13_0
    | f5($true)
    | x
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_304,c_0_136]) ).

cnf(c_0_370,plain,
    ( epred18_0
    | epred17_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).

cnf(c_0_371,plain,
    ( epred20_0
    | ~ epred17_0
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[c_0_308]) ).

cnf(c_0_372,plain,
    ( epred18_0
    | ~ epred15_0
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[c_0_309]) ).

cnf(c_0_373,plain,
    ( epred17_0
    | ~ epred15_0
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[c_0_310]) ).

cnf(c_0_374,plain,
    ( epred16_0
    | ~ f6($false)
    | ~ epred13_0
    | ~ f5($true) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_375,plain,
    ( f5($false)
    | f6($false)
    | epred15_0
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_376,plain,
    ( epred16_0
    | epred15_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_303]) ).

cnf(c_0_377,plain,
    ( epred23_0
    | epred9_0
    | ~ epred20_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_378,plain,
    ( epred20_0
    | epred19_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_379,plain,
    ( epred23_0
    | epred9_0
    | ~ epred19_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_312,c_0_316]) ).

cnf(c_0_380,plain,
    ( epred10_0
    | epred9_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).

cnf(c_0_381,plain,
    ( epred8_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_258]),c_0_322]) ).

cnf(c_0_382,plain,
    ( epred6_0
    | ~ epred4_0
    | ~ f4($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_383,plain,
    ( f3($true)
    | epred5_0
    | ~ epred4_0
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_384,plain,
    ( epred6_0
    | epred5_0
    | f4($true)
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_324]) ).

cnf(c_0_385,plain,
    ( epred3_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_263]),c_0_325]),c_0_326]) ).

cnf(c_0_386,plain,
    ( epred4_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_387,plain,
    ( epred6_0
    | ~ f4($false)
    | ~ epred3_0
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_388,plain,
    ( f3($true)
    | epred5_0
    | ~ f4($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_389,plain,
    ( epred6_0
    | epred5_0
    | f4($false)
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_390,plain,
    ( epred10_0
    | epred9_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_391,plain,
    ( epred7_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_271]),c_0_335]),c_0_336]) ).

cnf(c_0_392,plain,
    ( f2($false)
    | f2($true)
    | epred10_0
    | ~ f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_393,plain,
    ( f1($false)
    | f2($false)
    | f2($true)
    | epred23_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_394,plain,
    ( epred14_0
    | f6($false)
    | ~ f5($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_395,plain,
    ( epred13_0
    | f6($true)
    | ~ f5($false)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_396,plain,
    ( epred13_0
    | f5($false)
    | f5($true)
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_304,c_0_337]) ).

cnf(c_0_397,plain,
    ( epred16_0
    | f4($true)
    | ~ f4($false)
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_398,plain,
    ( epred16_0
    | f4($false)
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[c_0_338]) ).

cnf(c_0_399,plain,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_217]) ).

cnf(c_0_400,plain,
    ( epred2_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_276]),c_0_341]) ).

cnf(c_0_401,plain,
    ( epred1_0
    | f5($true)
    | ~ f5($false)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_402,plain,
    ( epred1_0
    | ~ epred3_0
    | ~ f5($true) ),
    inference(cn,[status(thm)],[c_0_342]) ).

cnf(c_0_403,plain,
    ( epred4_0
    | f4($false)
    | ~ f3($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_404,plain,
    ( epred4_0
    | f4($false)
    | f3($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_405,plain,
    ( epred3_0
    | f4($true)
    | ~ f3($false)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_406,plain,
    ( epred3_0
    | f4($true)
    | f3($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_407,plain,
    ( epred6_0
    | f3($true)
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_408,plain,
    ( epred8_0
    | ~ f2($false)
    | ~ f1($true)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_409,plain,
    ( epred8_0
    | f1($true)
    | ~ f2($false)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_410,plain,
    ( epred8_0
    | f2($false)
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_411,plain,
    ( epred15_0
    | ~ epred18_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_279]) ).

cnf(c_0_412,plain,
    ( epred18_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).

cnf(c_0_413,plain,
    ( epred17_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]) ).

cnf(c_0_414,plain,
    ( epred20_0
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).

cnf(c_0_415,negated_conjecture,
    ( epred24_0
    | epred10_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_416,plain,
    ( epred19_0
    | ~ epred24_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_356]),c_0_357]) ).

cnf(c_0_417,plain,
    ( epred5_0
    | f3($true)
    | ~ f3($false)
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_418,plain,
    ( epred5_0
    | ~ epred7_0
    | ~ f3($true) ),
    inference(cn,[status(thm)],[c_0_361]) ).

cnf(c_0_419,plain,
    ( epred7_0
    | ~ f2($true)
    | ~ f1($true)
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_420,plain,
    ( epred7_0
    | f1($true)
    | ~ f2($true)
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_421,plain,
    ( epred7_0
    | f2($true)
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_422,plain,
    ( epred23_0
    | ~ epred22_0
    | ~ epred21_0
    | ~ epred22_0
    | ~ epred21_0 ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_423,plain,
    ( epred22_0
    | epred8_0
    | f2($false)
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_223]) ).

cnf(c_0_424,plain,
    ( epred10_0
    | ~ f2($false)
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_425,plain,
    ( f1($true)
    | epred23_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_426,plain,
    ( epred24_0
    | ~ f2($false)
    | ~ f2($true)
    | ~ f1($true) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_427,plain,
    ( f1($true)
    | epred9_0
    | ~ f2($false)
    | ~ f2($true) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_428,plain,
    ( x
    | ~ f6($false)
    | ~ f6($true)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_429,plain,
    ( f6($true)
    | ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_364]),c_0_365]) ).

cnf(c_0_430,plain,
    ( epred14_0
    | epred2_0
    | f5($true)
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_50]),c_0_366]),c_0_367]) ).

cnf(c_0_431,plain,
    ( epred13_0
    | x
    | ~ epred16_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_432,plain,
    ( epred20_0
    | epred19_0
    | epred15_0
    | ~ epred17_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_251]) ).

cnf(c_0_433,plain,
    ( epred20_0
    | epred19_0
    | epred17_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_252,c_0_370]) ).

cnf(c_0_434,plain,
    ( epred20_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373]) ).

cnf(c_0_435,plain,
    ( epred16_0
    | epred15_0
    | f5($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_181]),c_0_376]) ).

cnf(c_0_436,plain,
    ( f5($true)
    | epred15_0
    | ~ f6($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_437,plain,
    ( f6($false)
    | epred16_0
    | ~ f5($false)
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_438,plain,
    ( epred23_0
    | epred9_0
    | ~ epred15_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).

cnf(c_0_439,plain,
    ( epred10_0
    | epred9_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_440,plain,
    ( epred6_0
    | epred5_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]) ).

cnf(c_0_441,plain,
    ( epred4_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_442,plain,
    ( epred6_0
    | epred5_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389]) ).

cnf(c_0_443,plain,
    ( epred10_0
    | epred9_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_390,c_0_391]) ).

cnf(c_0_444,plain,
    ( epred23_0
    | epred10_0
    | f2($false)
    | f2($true) ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_445,plain,
    ( epred21_0
    | epred7_0
    | f2($true)
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_225]) ).

cnf(c_0_446,plain,
    ( epred14_0
    | ~ f6($false)
    | ~ f5($true)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_447,plain,
    ( epred14_0
    | f5($true)
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_394]),c_0_366]) ).

cnf(c_0_448,plain,
    ( epred13_0
    | ~ f6($true)
    | ~ f5($true)
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_449,plain,
    ( epred13_0
    | f5($true)
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_395]),c_0_396]) ).

cnf(c_0_450,plain,
    ( epred16_0
    | ~ f4($false)
    | ~ f4($true)
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_451,plain,
    ( epred16_0
    | f4($true)
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_452,plain,
    ( ~ epred4_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_453,plain,
    ( epred1_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_401,c_0_51]),c_0_402]) ).

cnf(c_0_454,plain,
    ( epred4_0
    | ~ f4($false)
    | ~ f3($true)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_455,plain,
    ( epred4_0
    | f3($true)
    | ~ f4($false)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_456,plain,
    ( epred4_0
    | f4($false)
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_457,plain,
    ( epred3_0
    | ~ f4($true)
    | ~ f3($true)
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_458,plain,
    ( epred3_0
    | f3($true)
    | ~ f4($true)
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_459,plain,
    ( epred3_0
    | f4($true)
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_460,plain,
    ( epred6_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_344]),c_0_407]) ).

cnf(c_0_461,plain,
    ( epred8_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410]) ).

cnf(c_0_462,plain,
    ( epred15_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]) ).

cnf(c_0_463,negated_conjecture,
    ( epred20_0
    | epred10_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_414,c_0_415]) ).

cnf(c_0_464,negated_conjecture,
    ( epred19_0
    | epred10_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_415]) ).

cnf(c_0_465,plain,
    ( epred5_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_417,c_0_321]),c_0_418]) ).

cnf(c_0_466,plain,
    ( epred7_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]) ).

cnf(c_0_467,plain,
    ( epred23_0
    | ~ epred21_0
    | ~ epred22_0 ),
    inference(cn,[status(thm)],[c_0_422]) ).

cnf(c_0_468,plain,
    ( epred22_0
    | epred8_0
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_287]),c_0_423]) ).

cnf(c_0_469,plain,
    ( epred23_0
    | epred10_0
    | ~ f2($true)
    | ~ f2($false) ),
    inference(spm,[status(thm)],[c_0_424,c_0_425]) ).

cnf(c_0_470,plain,
    ( epred21_0
    | ~ epred20_0
    | ~ epred19_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_471,plain,
    ( epred24_0
    | epred9_0
    | ~ f2($true)
    | ~ f2($false) ),
    inference(spm,[status(thm)],[c_0_426,c_0_427]) ).

cnf(c_0_472,plain,
    ( epred22_0
    | epred9_0
    | f2($false)
    | ~ epred23_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_222,c_0_269]) ).

cnf(c_0_473,plain,
    ( ~ epred13_0
    | ~ f6($true)
    | ~ f6($false) ),
    inference(csr,[status(thm)],[c_0_428,c_0_177]) ).

cnf(c_0_474,plain,
    ( ~ epred14_0
    | ~ epred13_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_177,c_0_429]) ).

cnf(c_0_475,plain,
    ( epred14_0
    | epred2_0
    | f5($false)
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_236]),c_0_430]),c_0_367]) ).

cnf(c_0_476,plain,
    ( epred13_0
    | f5($false)
    | ~ epred16_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_337]),c_0_431]),c_0_396]) ).

cnf(c_0_477,plain,
    ( f2($false)
    | f2($true)
    | epred24_0
    | ~ f1($false) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_478,plain,
    ( f1($false)
    | f2($false)
    | f2($true)
    | epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_479,plain,
    ( epred21_0
    | epred9_0
    | f2($true)
    | ~ epred23_0
    | ~ epred8_0 ),
    inference(spm,[status(thm)],[c_0_224,c_0_256]) ).

cnf(c_0_480,plain,
    ( epred20_0
    | epred19_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_434]) ).

cnf(c_0_481,plain,
    ( epred16_0
    | epred15_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_241,c_0_435]) ).

cnf(c_0_482,plain,
    ( epred16_0
    | epred15_0
    | f5($true)
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_181]) ).

cnf(c_0_483,plain,
    ( epred23_0
    | epred9_0
    | ~ epred15_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_484,plain,
    ( epred6_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]) ).

cnf(c_0_485,plain,
    ( epred23_0
    | epred9_0
    | ~ epred15_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_438,c_0_443]) ).

cnf(c_0_486,plain,
    ( epred23_0
    | epred19_0
    | epred10_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_444]),c_0_233]) ).

cnf(c_0_487,plain,
    ( epred21_0
    | epred7_0
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_290]),c_0_445]) ).

cnf(c_0_488,plain,
    ( epred22_0
    | ~ epred20_0
    | ~ epred19_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_489,plain,
    ( epred14_0
    | ~ epred15_0
    | ~ f5($true)
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_446,c_0_394]) ).

cnf(c_0_490,plain,
    ( epred14_0
    | f5($false)
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_236]),c_0_447]) ).

cnf(c_0_491,plain,
    ( epred13_0
    | ~ epred15_0
    | ~ f5($true)
    | ~ f5($false) ),
    inference(spm,[status(thm)],[c_0_448,c_0_395]) ).

cnf(c_0_492,plain,
    ( epred13_0
    | f5($false)
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_337]),c_0_449]) ).

cnf(c_0_493,plain,
    ( epred16_0
    | ~ epred18_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_398]),c_0_451]) ).

cnf(c_0_494,plain,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_495,plain,
    ( epred4_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_456]) ).

cnf(c_0_496,plain,
    ( epred3_0
    | ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_458]),c_0_459]) ).

cnf(c_0_497,plain,
    ( epred6_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_498,negated_conjecture,
    ( epred15_0
    | epred10_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_464]) ).

cnf(c_0_499,plain,
    ( epred5_0
    | ~ epred10_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_466]) ).

cnf(c_0_500,plain,
    ( epred23_0
    | epred8_0
    | ~ epred21_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_468]),c_0_248]) ).

cnf(c_0_501,plain,
    ( epred23_0
    | epred20_0
    | epred10_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_221]),c_0_285]) ).

cnf(c_0_502,plain,
    ( epred21_0
    | ~ epred19_0
    | ~ epred20_0 ),
    inference(cn,[status(thm)],[c_0_470]) ).

cnf(c_0_503,plain,
    ( epred24_0
    | epred20_0
    | epred9_0
    | ~ epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_221]),c_0_285]) ).

cnf(c_0_504,plain,
    ( epred22_0
    | epred9_0
    | ~ epred23_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_332]),c_0_472]) ).

cnf(c_0_505,plain,
    ( f4($false)
    | f4($true)
    | epred6_0
    | ~ f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_506,plain,
    ( f3($false)
    | f4($false)
    | f4($true)
    | epred19_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_507,plain,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_298]),c_0_365]),c_0_474]) ).

cnf(c_0_508,plain,
    ( epred14_0
    | epred2_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_475]),c_0_430]) ).

cnf(c_0_509,plain,
    ( epred13_0
    | ~ epred16_0
    | ~ epred1_0
    | ~ f5($true) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_476]),c_0_431]) ).

cnf(c_0_510,plain,
    ( epred24_0
    | epred9_0
    | f2($false)
    | f2($true) ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_511,plain,
    ( epred21_0
    | epred9_0
    | ~ epred23_0
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_318]),c_0_479]) ).

cnf(c_0_512,plain,
    ( epred23_0
    | epred9_0
    | ~ epred16_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_480]),c_0_379]) ).

cnf(c_0_513,plain,
    ( epred16_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_376]) ).

cnf(c_0_514,plain,
    ( epred23_0
    | epred9_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_485]) ).

cnf(c_0_515,plain,
    ( epred19_0
    | epred7_0
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_466]),c_0_416]) ).

cnf(c_0_516,plain,
    ( epred22_0
    | ~ epred19_0
    | ~ epred20_0 ),
    inference(cn,[status(thm)],[c_0_488]) ).

cnf(c_0_517,plain,
    ( epred14_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_447]) ).

cnf(c_0_518,plain,
    ( epred13_0
    | ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_449]) ).

cnf(c_0_519,plain,
    ( epred16_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_412]),c_0_413]) ).

cnf(c_0_520,plain,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_496]) ).

cnf(c_0_521,plain,
    ( epred15_0
    | epred6_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_497,c_0_498]) ).

cnf(c_0_522,plain,
    ( epred15_0
    | epred5_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_499,c_0_498]) ).

cnf(c_0_523,plain,
    ( epred23_0
    | epred6_0
    | ~ epred21_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_460,c_0_500]) ).

cnf(c_0_524,plain,
    ( epred23_0
    | epred21_0
    | epred10_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_254]),c_0_502]) ).

cnf(c_0_525,plain,
    ( epred23_0
    | epred9_0
    | ~ epred19_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_439]) ).

cnf(c_0_526,plain,
    ( epred23_0
    | epred9_0
    | ~ epred19_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_443]) ).

cnf(c_0_527,plain,
    ( epred20_0
    | epred9_0
    | ~ epred23_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_414]) ).

cnf(c_0_528,plain,
    ( epred19_0
    | epred6_0
    | f4($true)
    | ~ epred18_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_152]) ).

cnf(c_0_529,plain,
    ( epred19_0
    | epred6_0
    | f4($false)
    | f4($true) ),
    inference(spm,[status(thm)],[c_0_505,c_0_506]) ).

cnf(c_0_530,plain,
    ( epred2_0
    | ~ epred16_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_507,c_0_508]) ).

cnf(c_0_531,plain,
    ( epred13_0
    | ~ epred16_0
    | ~ epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_121]),c_0_431]),c_0_476]),c_0_509]) ).

cnf(c_0_532,plain,
    ( epred24_0
    | epred19_0
    | epred9_0
    | ~ epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_510]),c_0_233]) ).

cnf(c_0_533,plain,
    ( epred21_0
    | epred9_0
    | ~ epred23_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_511,c_0_381]) ).

cnf(c_0_534,plain,
    ( epred23_0
    | epred9_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_514]) ).

cnf(c_0_535,plain,
    ( epred19_0
    | epred5_0
    | ~ epred24_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_515]) ).

cnf(c_0_536,plain,
    ( epred23_0
    | ~ epred20_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_516]),c_0_502]) ).

cnf(c_0_537,plain,
    ( epred20_0
    | ~ f4($false)
    | ~ f4($true)
    | ~ f3($true) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_538,plain,
    ( f3($true)
    | epred5_0
    | ~ f4($false)
    | ~ f4($true) ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_539,plain,
    ( ~ epred16_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_517]),c_0_518]) ).

cnf(c_0_540,negated_conjecture,
    ( epred16_0
    | epred10_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_463]),c_0_464]) ).

cnf(c_0_541,plain,
    ( epred15_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_522]) ).

cnf(c_0_542,plain,
    ( epred23_0
    | epred6_0
    | ~ epred19_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_497]) ).

cnf(c_0_543,plain,
    ( epred23_0
    | epred9_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_484]),c_0_526]) ).

cnf(c_0_544,plain,
    ( epred20_0
    | epred9_0
    | ~ epred23_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_527,c_0_391]) ).

cnf(c_0_545,plain,
    ( epred19_0
    | epred6_0
    | ~ epred18_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_199]),c_0_528]) ).

cnf(c_0_546,plain,
    ( epred19_0
    | epred18_0
    | epred6_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_529]),c_0_307]) ).

cnf(c_0_547,plain,
    ( epred2_0
    | ~ epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_328]) ).

cnf(c_0_548,plain,
    ( epred19_0
    | epred9_0
    | ~ epred23_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_416]) ).

cnf(c_0_549,plain,
    ( epred19_0
    | epred5_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_499,c_0_464]) ).

cnf(c_0_550,plain,
    ( epred23_0
    | epred9_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_534,c_0_439]) ).

cnf(c_0_551,plain,
    ( epred23_0
    | epred9_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_534,c_0_443]) ).

cnf(c_0_552,plain,
    ( epred23_0
    | epred5_0
    | ~ epred20_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_313]),c_0_536]) ).

cnf(c_0_553,plain,
    ( epred20_0
    | epred5_0
    | ~ f4($true)
    | ~ f4($false) ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_554,plain,
    ( epred18_0
    | epred4_0
    | f4($false)
    | ~ epred19_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_404]) ).

cnf(c_0_555,negated_conjecture,
    ( epred10_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541]) ).

cnf(c_0_556,plain,
    ( epred23_0
    | ~ epred19_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_542]),c_0_543]) ).

cnf(c_0_557,plain,
    ( epred15_0
    | epred9_0
    | ~ epred19_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_544]),c_0_526]) ).

cnf(c_0_558,plain,
    ( epred19_0
    | epred6_0
    | ~ epred16_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_559,plain,
    ( epred4_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_327,c_0_547]) ).

cnf(c_0_560,plain,
    ( epred19_0
    | epred5_0
    | ~ epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_484]),c_0_549]) ).

cnf(c_0_561,plain,
    ( epred23_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_484]),c_0_551]) ).

cnf(c_0_562,plain,
    ( epred19_0
    | epred5_0
    | ~ epred15_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_378]),c_0_549]) ).

cnf(c_0_563,plain,
    ( epred17_0
    | epred5_0
    | f4($true)
    | ~ epred19_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_282,c_0_324]) ).

cnf(c_0_564,plain,
    ( epred20_0
    | epred16_0
    | epred5_0
    | ~ epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_398]),c_0_451]) ).

cnf(c_0_565,plain,
    ( epred18_0
    | epred4_0
    | ~ epred19_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_455]),c_0_554]) ).

cnf(c_0_566,plain,
    ( epred6_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_497,c_0_555]) ).

cnf(c_0_567,plain,
    ( epred5_0
    | ~ epred23_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_499,c_0_555]) ).

cnf(c_0_568,plain,
    ( epred16_0
    | epred9_0
    | ~ epred19_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_544]),c_0_526]) ).

cnf(c_0_569,plain,
    ( epred15_0
    | ~ epred19_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_556]),c_0_557]) ).

cnf(c_0_570,plain,
    ( epred19_0
    | epred6_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_558,c_0_559]) ).

cnf(c_0_571,plain,
    ( epred19_0
    | epred5_0
    | ~ epred16_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_480]),c_0_549]) ).

cnf(c_0_572,plain,
    ( epred19_0
    | epred9_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_561]) ).

cnf(c_0_573,plain,
    ( epred19_0
    | epred5_0
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_514]),c_0_562]) ).

cnf(c_0_574,plain,
    ( f4($false)
    | f4($true)
    | epred20_0
    | ~ f3($false) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_575,plain,
    ( f3($false)
    | f4($false)
    | f4($true)
    | epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_576,plain,
    ( epred17_0
    | epred5_0
    | ~ epred19_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_383]),c_0_563]) ).

cnf(c_0_577,plain,
    ( epred16_0
    | epred5_0
    | epred4_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_484]),c_0_519]) ).

cnf(c_0_578,plain,
    ( ~ epred23_0
    | ~ epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_566]),c_0_567]) ).

cnf(c_0_579,plain,
    ( epred9_0
    | ~ epred19_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_568]),c_0_569]) ).

cnf(c_0_580,plain,
    ( epred19_0
    | epred15_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_570,c_0_513]) ).

cnf(c_0_581,plain,
    ( epred19_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_513]),c_0_572]),c_0_573]) ).

cnf(c_0_582,plain,
    ( epred20_0
    | epred5_0
    | f4($false)
    | f4($true) ),
    inference(spm,[status(thm)],[c_0_574,c_0_575]) ).

cnf(c_0_583,plain,
    ( epred17_0
    | epred16_0
    | epred5_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_576,c_0_577]) ).

cnf(c_0_584,plain,
    ( ~ epred19_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_556]),c_0_579]) ).

cnf(c_0_585,plain,
    ( epred19_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_580]),c_0_581]) ).

cnf(c_0_586,plain,
    ( epred20_0
    | epred15_0
    | epred5_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_582]),c_0_279]) ).

cnf(c_0_587,plain,
    ( epred17_0
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_559]),c_0_583]),c_0_581]) ).

cnf(c_0_588,plain,
    ( epred15_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_589,plain,
    ( epred20_0
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_588]) ).

cnf(c_0_590,plain,
    ( epred13_0
    | epred1_0
    | f5($true)
    | x ),
    inference(spm,[status(thm)],[c_0_49,c_0_93]) ).

cnf(c_0_591,plain,
    epred15_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_589]),c_0_585]) ).

cnf(c_0_592,plain,
    ( epred16_0
    | epred1_0
    | f5($true)
    | x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_437]),c_0_51]),c_0_590]) ).

cnf(c_0_593,plain,
    ~ epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_539,c_0_591])]) ).

cnf(c_0_594,plain,
    ( epred16_0
    | x
    | ~ epred14_0
    | ~ f5($true) ),
    inference(spm,[status(thm)],[c_0_179,c_0_365]) ).

cnf(c_0_595,plain,
    ( epred1_0
    | f5($true)
    | x ),
    inference(sr,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_596,plain,
    ( epred1_0
    | x
    | ~ epred14_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_593]) ).

cnf(c_0_597,plain,
    ( epred1_0
    | f5($true)
    | x
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_298]) ).

cnf(c_0_598,plain,
    ( epred14_0
    | ~ epred15_0
    | ~ f5($false)
    | ~ x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_394]),c_0_237]) ).

cnf(c_0_599,plain,
    ( epred14_0
    | epred1_0
    | f5($false)
    | ~ x ),
    inference(spm,[status(thm)],[c_0_91,c_0_213]) ).

cnf(c_0_600,plain,
    ( epred1_0
    | f5($false)
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_213]),c_0_593]),c_0_596]),c_0_51]) ).

cnf(c_0_601,plain,
    ( epred16_0
    | epred1_0
    | x
    | ~ epred14_0 ),
    inference(spm,[status(thm)],[c_0_594,c_0_597]) ).

cnf(c_0_602,plain,
    ( epred14_0
    | epred1_0
    | ~ epred15_0
    | ~ x ),
    inference(spm,[status(thm)],[c_0_598,c_0_599]) ).

cnf(c_0_603,plain,
    ( epred1_0
    | ~ epred14_0
    | ~ f5($true) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_600]),c_0_593]) ).

cnf(c_0_604,plain,
    ( epred16_0
    | epred1_0
    | f5($true)
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_183]),c_0_601]),c_0_51]) ).

cnf(c_0_605,plain,
    ( epred19_0
    | ~ epred18_0
    | ~ epred17_0
    | ~ epred18_0
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_606,plain,
    ( epred18_0
    | epred4_0
    | f4($false)
    | ~ epred20_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_281]) ).

cnf(c_0_607,plain,
    ( epred14_0
    | ~ f6($false)
    | ~ f5($true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_591])]) ).

cnf(c_0_608,plain,
    ( epred14_0
    | epred1_0
    | ~ x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_591])]) ).

cnf(c_0_609,plain,
    ( epred1_0
    | ~ epred14_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_604]),c_0_593]) ).

cnf(c_0_610,plain,
    ( epred19_0
    | ~ epred17_0
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[c_0_605]) ).

cnf(c_0_611,plain,
    ( epred18_0
    | epred4_0
    | ~ epred20_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_350]),c_0_606]) ).

cnf(c_0_612,plain,
    ( epred17_0
    | epred4_0
    | ~ epred20_0
    | ~ epred5_0
    | ~ f4($false)
    | ~ f4($true) ),
    inference(spm,[status(thm)],[c_0_454,c_0_353]) ).

cnf(c_0_613,plain,
    ( epred17_0
    | f4($false) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_591])]) ).

cnf(c_0_614,plain,
    ( epred17_0
    | f4($true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_591])]) ).

cnf(c_0_615,plain,
    ( epred16_0
    | epred4_0
    | ~ epred19_0
    | ~ epred17_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_565]) ).

cnf(c_0_616,plain,
    ( epred1_0
    | f5($false) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_117]),c_0_595]),c_0_608]),c_0_609]) ).

cnf(c_0_617,plain,
    ( epred14_0
    | epred1_0
    | f5($true)
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_394]),c_0_51]),c_0_602]) ).

cnf(c_0_618,plain,
    ( epred19_0
    | epred4_0
    | ~ epred17_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_611]),c_0_314]) ).

cnf(c_0_619,plain,
    ( epred17_0
    | epred4_0
    | ~ epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_614]),c_0_587]) ).

cnf(c_0_620,plain,
    ( epred16_0
    | ~ epred19_0
    | ~ epred17_0
    | ~ epred6_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_615]) ).

cnf(c_0_621,plain,
    ( epred1_0
    | ~ f5($true) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_616]),c_0_593]) ).

cnf(c_0_622,plain,
    ( epred14_0
    | epred1_0
    | f5($true) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_617,c_0_591])]) ).

cnf(c_0_623,plain,
    ( epred19_0
    | ~ epred17_0
    | ~ epred5_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_618]) ).

cnf(c_0_624,plain,
    ( epred17_0
    | ~ epred20_0
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_619]) ).

cnf(c_0_625,plain,
    ( epred5_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_587]),c_0_593]),c_0_484]),c_0_581]) ).

cnf(c_0_626,plain,
    ( epred20_0
    | epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_591])]) ).

cnf(c_0_627,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_622]),c_0_609]) ).

cnf(c_0_628,plain,
    ( epred19_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_624]),c_0_625]),c_0_626]) ).

cnf(c_0_629,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_627])]) ).

cnf(c_0_630,plain,
    epred19_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_628,c_0_629])]) ).

cnf(c_0_631,plain,
    epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_629])]) ).

cnf(c_0_632,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_630])]),c_0_631])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYO500_8.007 : TPTP v8.2.0. Released v8.0.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 09:33:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/0.83  # Version: 3.1.0
% 0.92/0.83  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.92/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.83  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.92/0.83  # Starting new_bool_3 with 300s (1) cores
% 0.92/0.83  # Starting new_bool_1 with 300s (1) cores
% 0.92/0.83  # Starting sh5l with 300s (1) cores
% 0.92/0.83  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3357 completed with status 0
% 0.92/0.83  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.92/0.83  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.92/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.83  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.92/0.83  # No SInE strategy applied
% 0.92/0.83  # Search class: FGHNF-FSLM00-SFFFFFNN
% 0.92/0.83  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.92/0.83  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 675s (1) cores
% 0.92/0.83  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.92/0.83  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.92/0.83  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.92/0.83  # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I with 136s (1) cores
% 0.92/0.83  # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 3365 completed with status 0
% 0.92/0.83  # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 0.92/0.83  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.92/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.92/0.83  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.92/0.83  # No SInE strategy applied
% 0.92/0.83  # Search class: FGHNF-FSLM00-SFFFFFNN
% 0.92/0.83  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.92/0.83  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 675s (1) cores
% 0.92/0.83  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.92/0.83  # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.92/0.83  # Preprocessing time       : 0.006 s
% 0.92/0.83  # Presaturation interreduction done
% 0.92/0.83  
% 0.92/0.83  # Proof found!
% 0.92/0.83  # SZS status Theorem
% 0.92/0.83  # SZS output start CNFRefutation
% See solution above
% 0.92/0.84  # Parsed axioms                        : 9
% 0.92/0.84  # Removed by relevancy pruning/SinE    : 0
% 0.92/0.84  # Initial clauses                      : 782
% 0.92/0.84  # Removed in clause preprocessing      : 276
% 0.92/0.84  # Initial clauses in saturation        : 506
% 0.92/0.84  # Processed clauses                    : 3059
% 0.92/0.84  # ...of these trivial                  : 3
% 0.92/0.84  # ...subsumed                          : 1709
% 0.92/0.84  # ...remaining for further processing  : 1346
% 0.92/0.84  # Other redundant clauses eliminated   : 0
% 0.92/0.84  # Clauses deleted for lack of memory   : 0
% 0.92/0.84  # Backward-subsumed                    : 590
% 0.92/0.84  # Backward-rewritten                   : 272
% 0.92/0.84  # Generated clauses                    : 7500
% 0.92/0.84  # ...of the previous two non-redundant : 3686
% 0.92/0.84  # ...aggressively subsumed             : 0
% 0.92/0.84  # Contextual simplify-reflections      : 414
% 0.92/0.84  # Paramodulations                      : 7497
% 0.92/0.84  # Factorizations                       : 0
% 0.92/0.84  # NegExts                              : 0
% 0.92/0.84  # Equation resolutions                 : 0
% 0.92/0.84  # Disequality decompositions           : 0
% 0.92/0.84  # Total rewrite steps                  : 276
% 0.92/0.84  # ...of those cached                   : 270
% 0.92/0.84  # Propositional unsat checks           : 0
% 0.92/0.84  #    Propositional check models        : 0
% 0.92/0.84  #    Propositional check unsatisfiable : 0
% 0.92/0.84  #    Propositional clauses             : 0
% 0.92/0.84  #    Propositional clauses after purity: 0
% 0.92/0.84  #    Propositional unsat core size     : 0
% 0.92/0.84  #    Propositional preprocessing time  : 0.000
% 0.92/0.84  #    Propositional encoding time       : 0.000
% 0.92/0.84  #    Propositional solver time         : 0.000
% 0.92/0.84  #    Success case prop preproc time    : 0.000
% 0.92/0.84  #    Success case prop encoding time   : 0.000
% 0.92/0.84  #    Success case prop solver time     : 0.000
% 0.92/0.84  # Current number of processed clauses  : 247
% 0.92/0.84  #    Positive orientable unit clauses  : 6
% 0.92/0.84  #    Positive unorientable unit clauses: 0
% 0.92/0.84  #    Negative unit clauses             : 3
% 0.92/0.84  #    Non-unit-clauses                  : 238
% 0.92/0.84  # Current number of unprocessed clauses: 766
% 0.92/0.84  # ...number of literals in the above   : 4852
% 0.92/0.84  # Current number of archived formulas  : 0
% 0.92/0.84  # Current number of archived clauses   : 1099
% 0.92/0.84  # Clause-clause subsumption calls (NU) : 358241
% 0.92/0.84  # Rec. Clause-clause subsumption calls : 65400
% 0.92/0.84  # Non-unit clause-clause subsumptions  : 2657
% 0.92/0.84  # Unit Clause-clause subsumption calls : 2505
% 0.92/0.84  # Rewrite failures with RHS unbound    : 0
% 0.92/0.84  # BW rewrite match attempts            : 6
% 0.92/0.84  # BW rewrite match successes           : 6
% 0.92/0.84  # Condensation attempts                : 0
% 0.92/0.84  # Condensation successes               : 0
% 0.92/0.84  # Termbank termtop insertions          : 623488
% 0.92/0.84  # Search garbage collected termcells   : 4455
% 0.92/0.84  
% 0.92/0.84  # -------------------------------------------------
% 0.92/0.84  # User time                : 0.324 s
% 0.92/0.84  # System time              : 0.015 s
% 0.92/0.84  # Total time               : 0.339 s
% 0.92/0.84  # Maximum resident set size: 4720 pages
% 0.92/0.84  
% 0.92/0.84  # -------------------------------------------------
% 0.92/0.84  # User time                : 1.300 s
% 0.92/0.84  # System time              : 0.032 s
% 0.92/0.84  # Total time               : 1.332 s
% 0.92/0.84  # Maximum resident set size: 3580 pages
% 0.92/0.84  % E---3.1 exiting
% 0.92/0.84  % E exiting
%------------------------------------------------------------------------------